2024-03-29T08:11:21Z
https://vfast.org/journals/index.php/index/oai
oai:ojs.pkp.sfu.ca:article/22
2022-04-23T09:11:22Z
VTM:ART
nmb a2200000Iu 4500
"131231 2013 eng "
2309-0022
2411-6343
dc
Some Convexity Properties for a General Integral Operator
A Khan, Muhammad
Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan
Muhammad, Wisal
Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan
In the present article, we consider some subclasses of analytic functions of complex order. By using three different methods we study the mapping properties of these classes under an integral operator.
VFAST-Research Platform
2022-04-23 14:11:22
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/22
VFAST Transactions on Mathematics; Vol. 1 No. 1 (2013): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/40
2022-04-23T09:11:22Z
VTM:ART
nmb a2200000Iu 4500
"131231 2013 eng "
2309-0022
2411-6343
dc
Solution of an SEIR Epidemic Model in Fractional Order
ZEB, ANWAR
ZAMAN, GUL
MOMANI, SHAHER
ERTÜRK, VEDAT SUAT
In this paper, we consider the SEIR (Susceptible-Exposed-Infected-Recovered) epidemic model (with out of bilinear incidence rates) in fractional order. First the non-negative solution of the SEIR model in fractional order is discussed. Then calculate an approximate solution of the proposed model. The obtained results are compaired with those obtained by forth order Runge-Kutta method and nonstandard numerical method in the integer case. Finally, we present some numerical results.
VFAST-Research Platform
2022-04-23 14:11:22
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/40
VFAST Transactions on Mathematics; Vol. 1 No. 1 (2013): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/41
2022-04-23T09:11:22Z
VTM:ART
nmb a2200000Iu 4500
"131231 2013 eng "
2309-0022
2411-6343
dc
Stability analysis of a general SIR epidemic model
Ullah, Roman
Zaman, Gul
Islam, Saeed
A proper structure of mathematical model is required to
understand the large size dynamics of the spread of an infectious disease. In this paper, we discuss a general SIR epidemic model which represents the direct transmission of infectious disease. The reproduction number R0 is determined and the local and global stabilities of both the disease-free and the endemic equilibrium are derived
VFAST-Research Platform
2022-04-23 14:11:22
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/41
VFAST Transactions on Mathematics; Vol. 1 No. 1 (2013): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/43
2022-04-23T09:11:22Z
VTM:ART
nmb a2200000Iu 4500
"131231 2013 eng "
2309-0022
2411-6343
dc
Analytical solution of an SEIV epidemic model by Homotopy Perturbation method
Islam, saeed
Saddiq, Syed Farasat
zaman, gul
Khan, Muhammad Altaf
Ahmad, Farooq
Ullah, Murad
In this paper, we consider an SEIV epidemic model which represents the interection of infected and susceptible individuals in the population through horizontal transmission. We find the analytical solution of the proposed model by Homotopy perturbation method which is one of the best method for finding the solution of the nonlinear problem. By using this techniques, first, we solve the problem analytically and then compare the numerical results with other standards methods. We also justfy the numerical simulation and their results. Mostly nonlinear problem have upon some difficulties, and their solution is some time difficult to obtain. However, this techniques help us to obtain their approximate as well as analytical solution just after few perturbation terms.
VFAST-Research Platform
2022-04-23 14:11:22
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/43
VFAST Transactions on Mathematics; Vol. 1 No. 1 (2013): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/44
2022-04-23T09:11:22Z
VTM:ART
nmb a2200000Iu 4500
"131231 2013 eng "
2309-0022
2411-6343
dc
Some properties of meromorphic alpha-convex functions and its applications
Ayaz, Muhammad
Khan, Hassan
The aim of the present paper is to obtain sufficient condition for the class of meromorphic alpha convex functions of order ζ and then to study mapping properties of an integral operator. Many known results apear as special consequences of
our work
VFAST-Research Platform
2022-04-23 14:11:22
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/44
VFAST Transactions on Mathematics; Vol. 1 No. 1 (2013): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/50
2022-04-22T18:18:58Z
VTM:ART
nmb a2200000Iu 4500
"141208 2014 eng "
2309-0022
2411-6343
dc
Some sufficient conditions for alpha convex functions of order beta
Ali, Askar
Department of Mathematics, Abdul Wali Khan University Mardan
Muhammad, Jan
Department of Mathematics, Abdul Wali Khan University Mardan
The object of the present paper is to obtain new sufficiency criteria for a class of alpha convex functions and then discuss its applications to the generalized integral operator. Many known results appear as a special consequences of our work. Some applications of our work to the generalized integral operator is also given.
VFAST-Research Platform
2014-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/50
VFAST Transactions on Mathematics; Vol. 2 No. 1 (2014): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/119
2022-04-22T18:18:58Z
VTM:ART
nmb a2200000Iu 4500
"141217 2014 eng "
2309-0022
2411-6343
dc
THE TIME-MARCHING MESHLESS METHOD OF FUNDAMENTAL SOLUTIONS FOR WAVE EQUATION
Uddin, Marjan
Ali, Hazrat
We extended a local meshless approximation method for solving nu- merically time-dependent 2D wave equations. The present numerical method is meshfree and is capable of solving large scale time-dependent PDEs in multi- dimension for arbitrary shaped domain.
VFAST-Research Platform
2014-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/119
VFAST Transactions on Mathematics; Vol. 2 No. 1 (2014): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/120
2022-04-22T18:18:58Z
VTM:ART
nmb a2200000Iu 4500
"141215 2014 eng "
2309-0022
2411-6343
dc
EIGENVALUES, EIGENVECTORS AND THE CONJUGACY CLASSES OF THE PSEUDO-ORTHOGONAL GROUPS O(n,m)
Amir, Naila
Rashid, Muneer Ahmad
The eigenvalues, eigenvectors and the properties of the rotation part of the orthogonal group O(3) are well-known. What can we say about the eigenval- ues and eigenvectors of the Pseudo-orthogonal group O(2,1)? The answer to this question will be presented in this paper. Generalizations of the results for these groups in higher dimensions will also be discussed. The distinction between even and odd dimensions will be emphasized.
VFAST-Research Platform
2014-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/120
VFAST Transactions on Mathematics; Vol. 2 No. 1 (2014): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/121
2022-04-22T18:18:58Z
VTM:ART
nmb a2200000Iu 4500
"140115 2014 eng "
2309-0022
2411-6343
dc
GENERAL LORENTZ TRANSFORMATIONS AND APPLICATIONS
Amir, Naila
Rashid, Muneer Ahmad
In this paper, we solve a formidable nonlinear problem presented by a veteran Physicist C.B.van Wyk in his paper on General Lorentz Transformations and applications [1].We arrived at the solution by first examining the problem in a non-invariant manner.This assured us that the solution of the problem exists.To solve the problem in an invariant fashion, we had to understand the geometry of the situation.This finally gave us a reformulation of the formidable nonlinear prob- lem as a simple linear one. We have verified that the solution of the reformulated problem does solve the original problem.In fact,the original problem can be recov- ered from the reformulated one.
VFAST-Research Platform
2014-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/121
VFAST Transactions on Mathematics; Vol. 2 No. 1 (2014): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/128
2022-04-22T18:18:58Z
VTM:ART
nmb a2200000Iu 4500
"141206 2014 eng "
2309-0022
2411-6343
dc
Numerical solutions of SVEIRS model by meshless and finite difference methods
Haider, Nadeem
In this paper an operator splitting method is being considered for numerical solution of compartmental epidemiological population models with and without di usion. This is based on meshless and nitedi erence method. A one step ex-plicit meshless procedure is also applied for the numerical solution of the model. The compartmental model comprises of susceptible, vaccinated, exposed, infected, recovered(SVEIRS) classes of the population. E ects of the di usion on the simulation results of the model will bestudied. Due to non-availability of the exact and precise solution, the numerical results obtained aremutually compared and their correctness will be veri ed by the theoretical results .
VFAST-Research Platform
2014-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/128
VFAST Transactions on Mathematics; Vol. 2 No. 1 (2014): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/129
2022-04-22T18:35:18Z
VTM:ART
nmb a2200000Iu 4500
"151215 2015 eng "
2309-0022
2411-6343
dc
A General Class Of Estimators For Finite Population Mean In The Presence Of Non-Response When Using The Second Raw Moments
KHAN, MANZOOR
SHABBIR, JAVID
In this paper, a general class of family of estimators for estimation of finite population mean is proposed under non-response, by using information on second raw moments. Properties of some ratio, product, modified ratio and modified product type estimators, which are members of a suggested class of estimators, are studied. It is shown that a suggested class of estimators performs better than the usual ratio and product type estimators as well as regression and other considered estimators. A numerical study is carried out to support a suggested class of estimators.
VFAST-Research Platform
2015-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/129
VFAST Transactions on Mathematics; Vol. 3 No. 1 (2015): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/138
2022-04-22T10:07:36Z
VTM:ART
nmb a2200000Iu 4500
"170726 2017 eng "
2309-0022
2411-6343
dc
Delayed SIR model with latency and saturated incidence rate
Yau, Muhammad Abdullahi
Department of mathematics,
Nasarawa State University Keffi, Nigeria
Ndakwo, H.S
Department of mathematics,
Nasarawa State University Keffi, Nigeria
Garba, Muktari
Department of Statistic, Waziri Umaru Federal Polytechnic, Birnin-Kebbi, Nigeria
In this paper, we derive and analyse a delayed $SI$ model with saturated incidence rate and
latent or infectious period $\tau$. We prove local stability of the system's steady states in the
absence and the presence of the time delay. We discover the the disease-free steady state is locally
asymptotically stable if $\mathcal{R}_0<1$ and unstable if $\mathcal{R}_0>1$. While, the endemic steady
state is always stable for any parameter values and for all $\tau\ge0$.
VFAST-Research Platform
2017-10-13 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/138
VFAST Transactions on Mathematics; Vol. 5 No. 1 (2017): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/139
2022-04-22T10:07:36Z
VTM:ART
nmb a2200000Iu 4500
"140726 2014 eng "
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dc
Global stability analysis of an SIR model with bilinear incidence rate
Yau, Muhammad Abdullahi
Department of mathematics,
Nasarawa State University Keffi, Nigeria
Garba, Muktari
Department of Statistic, Waziri Umaru Federal Polytechnic, Birnin-Kebbi, Nigeria
In this research work, we derive and analyse an $SIR$ model with bilinear incidence rate.
and We prove both global and local stability of the disease-free steady state and endemic equilibrium state.
Using the idea of Lyapunov direct aproach by combining composite quadratic and linear functions we prove that
the system equilibria are locally and globally asymptotically stable for any parameter regime
VFAST-Research Platform
2017-10-13 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/139
VFAST Transactions on Mathematics; Vol. 5 No. 1 (2017): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/150
2022-04-22T18:35:18Z
VTM:ART
nmb a2200000Iu 4500
"151226 2015 eng "
2309-0022
2411-6343
dc
VALUATION ON A FILTERED MODULE
Anjom SHoa, Mohammad Hassan
Uinversity of Birjand
Hosseini, Mohammad Hossein
University of Birjand
In this paper we show if R is a filtered ring and M a filtered
R module then we can define a valuation on a module for M. Then
we show that we can find an skeleton of valuation on M, and we prove some properties such that derived form it for a filtered module.
VFAST-Research Platform
2015-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/150
VFAST Transactions on Mathematics; Vol. 3 No. 1 (2015): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/160
2022-04-22T06:50:07Z
VTM:ART
nmb a2200000Iu 4500
"181015 2018 eng "
2309-0022
2411-6343
dc
Teleparallel Homothetic Symmetry of Special Axially Symmetric Static Spacetime
Ali, Amjad
Department of Basic Sciences and Islamiat, University of Engineering & Technology Peshawar, Khyber Pukhtoonkhwa, Pakistan
In this paper we are interested to find teleparallel proper homothetic vector fields over the Lorentzian manifold of special axially symmetric static spacetime. For the purpose we applied teleparallel Lie derivative to the metric for homothetic equations and obtained ten coupled non linear differential equations. These equations are then solved for each possibility of the metric functions and it comes out that only in one case teleparallel proper homothetic vector fields exist for the special choice of metric functions. The spacetime admit eight dimensional teleparallel homothetic vector fields in which one is proper teleparallel homothetic vector and remaining seven are teleparallel Killing vector fields
VFAST-Research Platform
2018-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/160
VFAST Transactions on Mathematics; Vol. 6 No. 1 (2018): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/271
2022-04-22T10:07:36Z
VTM:ART
nmb a2200000Iu 4500
"170112 2017 eng "
2309-0022
2411-6343
dc
Numerical and Analtyical Solutions of a Model of Population Dynamics
Ahmad, Sidrah
Department of Mathematics, Karakoram International University, Gilgit
The study presents numerical and approximate analytical approximations to a model of population dynamics with unbounded mortality function.
The mathematical model involves a nonlocal boundary condion. A
fi
nite difierence method is implemented for the numerical solution while
the homotopy analysis method (HAM) is applied to obtain the approximate
series solution. The HAM solution contains an auxiliary parameter
which provides a convenient way of controlling the convergence region of
series solution. Results are presented for typical test problem provided in
literature. Comparison of the results of both methods show validity and
eficiency of the methods.
VFAST-Research Platform
2017-10-13 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/271
VFAST Transactions on Mathematics; Vol. 5 No. 1 (2017): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/272
2022-04-19T02:38:35Z
VTM:ART
nmb a2200000Iu 4500
"150112 2015 eng "
2309-0022
2411-6343
dc
USE OF CUMULATIVE DISTRIBUTION FUNCTIONS IN ORDER TO ESTIMATE DAMAGE PROBABILITY
Gurbuz, Ali
Recep Tayyip Erdogan University, Turkey
Tekin, Muhammad
Istanbul Gelisim University
In this study, the cumulative distribution function was formed in order to estimate the probability of earthquake damage risk of the residential buildings. Nonlinear Pushover analysis was performed to 25 reinforced concrete residential buildings. The information regarding the buildings was taken from their projects. A 3D computer model was drawn for each building and analysis was applied to these models. 4 damage limits (slight, moderate, extensive and complete) and 5 damage zones (undamaged, slight, medium, extensive and collapse) were determined on the modal capacity curves of the buildings. Probability density functions were calculated with the help of lognormal mean and lognormal standard deviation values of limit states. The cumulative distribution functions were generalized and the probability of the damage was shown. With the results of this work; damage possibility can be estimated for any reinforced concrete residential building which has same features such as soil type, story height, irregularities, soft story etc.
VFAST-Research Platform
2019-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/272
VFAST Transactions on Mathematics; Vol. 7 No. 1 (2019): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/273
2022-04-19T01:47:39Z
VTM:ART
nmb a2200000Iu 4500
"201231 2020 eng "
2309-0022
2411-6343
dc
Upper Bound of the Third Hankel Determinant for a Subclass of Analytic Functions Connected with Sine Functions
Ullah, Khalil
Department of Mathematics, Abdul Wali Khan University, Mardan 23200,
Pakistan
Khan, Qaiser
Government Degree Collage Mardan no 2, Pakistan
Ahmad, Khurshid
Government Post Graduate Collage Dargai, Malakand, Pakistan
Manickam, A.
School of Advanced Science and Languages (SASL), Department of Mathematics,
VIT Bhopal University Kothri Kalan, Bhopal-Indore Highway, Sehore Dt. Madhya
Pradesh - 466114
Haq, Mirajul
Department of Mathematics, Abdul Wali Khan University, Mardan 23200,
Pakistan
Khan, Bilal
School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East
China Normal University, 500 Dongchuan Road, Shanghai 200241, Peoples
Republic of China
Let RL sin and SL represents the families of multivalent bounded
turning and multivalent starlike functions that are subordinate with sine function in the open unit disk E = fz : jzj < 1g : For these families our aim is to
nd the bounds of Hankel determinant of order three. Further, the estimate of third order Hankel determinant for the family SL sin in this work improve the bounds which was investigated recently. Moreover, the same bounds have been investigated for 2-fold symmetric and 3-fold symmetric functions. Also we discuss H (3) determinant for the above mentioned families. 2 sin
VFAST-Research Platform
2020-10-19 16:37:45
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https://vfast.org/journals/index.php/VTM/article/view/273
VFAST Transactions on Mathematics; Vol. 8 No. 1 (2020): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/274
2022-04-22T06:50:07Z
VTM:ART
nmb a2200000Iu 4500
"180112 2018 eng "
2309-0022
2411-6343
dc
CALCULATION OF SHEAR STRENGTH PROBABILITY OF GEOGRIDS USED IN HIGHWAY EMBANKMENTS
Kutuk, Tuba
Recep Tayyip Erdogan University, Turkey
Gurbuz, Ali
Recep Tayyip Erdogan University, Turkey
In this study; experimental measurement data were performed for probability analysis. Geogrids are crucial reinforced material for civil engineering applications such as highway base/subbase reinforcement, railway ballast reinforcement and retaining walls. In this study, the cumulative distribution function was formed to estimate the probability of collapse risk of the highways. Probability density functions were calculated with the help of lognormal mean and lognormal standard deviation values of highway displacement points. The cumulative distribution functions were generalized and the probability of the damage was shown. With the results of this work; damage possibility can be estimated for any highway reinforced with geogrid which has same features such as 30x30mm, 40x40mm and 50x50mm etc.
VFAST-Research Platform
2018-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/274
VFAST Transactions on Mathematics; Vol. 6 No. 1 (2018): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/290
2022-04-20T22:06:07Z
VTM:ART
nmb a2200000Iu 4500
"150115 2015 eng "
2309-0022
2411-6343
dc
Counting Of Binary Matrices Avoiding Some 2 × 2 Matrices
Raza, Zahid
National University of Computer and Emerging Sciences
The number of matrices avoiding certain types of matrices is NP-hard in general. In this paper the binary matrices are considered. In particular, the problem of finding the total number of special binary matrices avoiding some types of 2 × 2 matrices is the main objective of this paper. The solution of the problem is given under some constraints as well as under general situation. The formula for the special binary matrices is obtained for total count of matrices of order n × k and also obtained the formula for special binary matrices avoiding some matrices of order 2 × 2. The formula is obtained in terms of the Catalan numbers.
VFAST-Research Platform
2016-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/290
VFAST Transactions on Mathematics; Vol. 4 No. 1 (2016): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/303
2022-04-19T01:47:39Z
VTM:ART
nmb a2200000Iu 4500
"200318 2020 eng "
2309-0022
2411-6343
dc
Stability Analysis of SEIVHR Epidemic Model with Saturated Incidence Rate
Khan, Muhammad Ali
Department of Mathematics, Abdul Wali Khan University Mardan, Khyber
Pakhtunkhwa, Pakistan.
., Sehra
Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan
The aim of this paper, to analyze stability analysis of SEIVHR epidemic model with a generalized non-linear incidence rate that spread in the host population horizontally. First, we formulate the model and find its basic reproduction number. Two equilibrium exists, namely; the disease-free and endemic equilibrium. The disease-free equilibrium is stable both locally and globally when the threshold quantity less than unity. The endemic equilibrium is locally and globally asymptotically stable when the threshold exceeds unity. Finally, we show some numerical results for the proposed model.
VFAST-Research Platform
2020-10-19 16:37:45
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/303
VFAST Transactions on Mathematics; Vol. 8 No. 1 (2020): January-December
eng
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oai:ojs.pkp.sfu.ca:article/304
2022-04-20T22:06:07Z
VTM:ART
nmb a2200000Iu 4500
"161226 2016 eng "
2309-0022
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dc
On Banach Lattice Algebras
Yilmaz, Rusen
Department of Mathematics, Recep Tayyip Erdo~gan University, 53100 Rize
Altun, Yilmaz
Department of Mathematics, Artvin C.
oruh University, 08100 Artvin
In this paper, we investigate a characterization of a Banach lattice
algebra with a unit to be represented as an AM-f-algebra. We also consider, for a locally compact Hausdor topological space L and a Banach lattice space A, the identification of Cb(L;Z(A)) with the center Z(C0(L;A)) of C0(L;A).
VFAST-Research Platform
2016-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/304
VFAST Transactions on Mathematics; Vol. 4 No. 1 (2016): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/305
2022-04-20T22:06:07Z
VTM:ART
nmb a2200000Iu 4500
"150327 2015 eng "
2309-0022
2411-6343
dc
Stability Analysis for Discrete Dynamical Models using Mathematica
Ufuktepe, Unal
Izmir University of Economics, Department of Mathematics
Kulahcioglu, Burcin
Izmir University of Economics, Department of Mathematics
Stability is one of the most important concepts in Discrete Dynamical Systems. Behaviour of orbits in the neighbourhood of xed points can tell much about the behaviour of the system. Although in literature there are some computer codes to nd stability types of the xed points, they are generally lack of non-hyperbolic xed points for one-dimensional models and center manifolds for two-dimensional models. We give Mathematica codes for the stability of one-dimensional and two-dimensional models with non-hyperbolic cases and center manifolds. These codes will be useful for whom dealing with real world problems including population growth, compound interest and annuities, radioactive decay and pollution control etc.
VFAST-Research Platform
2016-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/305
VFAST Transactions on Mathematics; Vol. 4 No. 1 (2016): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/336
2022-04-20T22:06:07Z
VTM:ART
nmb a2200000Iu 4500
"161225 2016 eng "
2309-0022
2411-6343
dc
Fundamental Theorem Of Functions
Addis, Gezahagne Mulat
Dilla University
From the fundamental theorem of homomorphisms, it is well known that any homomorphism of groups (or rings or modules or vector spaces and of general universal algebras) can be decomposed as a composition of a monomorphism and an epimorphism. This result can also be extended to general functions defined on abstract sets; that is, any function can be expressed as a composition of an injection and a surjection. The main theorem in this paper called ‘Fundamental Theorem of Functions’ provides the uniqueness of such a decomposition of functions as a composition of an injection and a surjection. The uniqueness in this theorem is proved upto the level of associates by introducing the notion of an associate of functions.
VFAST-Research Platform
2016-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/336
VFAST Transactions on Mathematics; Vol. 4 No. 1 (2016): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/360
2022-04-22T18:35:18Z
VTM:ART
nmb a2200000Iu 4500
"151225 2015 eng "
2309-0022
2411-6343
dc
Thermal and Airflow Characteristics of Transitional Spaces in a Traditional Urban Fabric Case Study of a Covered Walkway in Timimoun (South West of Algeria)
Lamia, Khelifi
Department of Architecture, Institute of architecture, University Saad Dahleb, Blida 1, Algeria
Rafik, Bensalem
School of architecture and urban design, EPAU, Algiers
Djaffar, Semmar
Faculty of mechanics, Saad Dahleb university, Blida1
The research presented in this article deals with the analysis of thermal and airflow patterns in a traditional compact urban fabric called „Ksar‟ located in the city of Timimoun in the South western part of the Algerian Sahara. It focuses on a particular typology of urban transitional spaces which is “a covered walkway ”. The aim of this research is to study the thermal and airflow characteristics of these particular spaces which affect the comfort of pedestrians and influence the ambiantal conditions of neighboring houses as well. The methodology conducted in this study consists principally in applying a computational fluid dynamics model to simulate the thermal airflow behavior of a transitional space. The computational fluid dynamics software, Fluent 6.3.26 is used for the simulation of the air flow and the temperature field traversing the streets. The results indicate that under peak Summer conditions, weak and strongly fluctuating air movements characterize the walkway and for perpendicular flow, the temperature generally decreases with an increase in velocity. Areas near the passage entrance are more affected by adverse wind conditions than other areas remote from it.
VFAST-Research Platform
2015-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/360
VFAST Transactions on Mathematics; Vol. 3 No. 1 (2015): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/366
2022-04-19T01:47:39Z
VTM:ART
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"201231 2020 eng "
2309-0022
2411-6343
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A Study of Third Hankel Determinant for Certain Subclasses of Analytic Function
Bibi, Hifsa
Department of Mathematics, Abdul Wali Khan University Mardan 23200
Khan, Bilal
School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, Peoples Republic
of China
Ahmad, Khurshid
Government Post Graduate Collage Dargai, Pakistan;
Murugusundaramoorthy, G.
School of Advanced Science,Vellore Institute of Technology, Vellore -14, India
Younis, Jihad
Department of Mathematics, Aden University, Aden, P.O.Box 6014, Yemen
Haq, Mirajul
Department of Mathematics, Abdul Wali Khan University Mardan 23200
Recently the Hankel determinant problems got attractions of many well-known authors. Third Hankel determinant problems were determined for different subclasses of analytic functions. Here in our present investigation, we define certain new subclasses of analytic functions and then we obtain the upper bonds for the third Hankel determinant.
VFAST-Research Platform
2020-10-19 16:37:45
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/366
VFAST Transactions on Mathematics; Vol. 8 No. 1 (2020): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/384
2022-04-22T18:35:18Z
VTM:ART
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"151225 2015 eng "
2309-0022
2411-6343
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Killing Symmetry in Special Axially Symmetric Static Spacetimes in Teleparalel Theory of Gravitation
Khan, Tariq Zaman
In this paper we are searching for teleparallel Killing vector fields of special axially symmetric static spacetimes in teleparallel theory of gravitation by using direct integration and algebraic techniques. After thorough investigations, the whole problem is divided into three cases under different constraints. Two of the said cases give contradiction, while one of them gives the solution of the system comprising the killing equations in the form of killing vector fields. The dimension of the killing symmetry in this case is 10.
VFAST-Research Platform
2015-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/384
VFAST Transactions on Mathematics; Vol. 3 No. 1 (2015): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/392
2022-04-19T01:47:38Z
VTM:ART
nmb a2200000Iu 4500
"220416 2022 eng "
2309-0022
2411-6343
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Upper Bound of the Third Hankel Determinant for a Subclass of Analytic Functions Subordinate to Cosine Function
Ahmad, Khurshid
Government Post Graduate Collage Dargai, Malakand, Pakistan
Araci, Serkan
Department of Economics, Faculty of Economics Administrative and Social
Sciences Hasan Kalyoncu University TR-27410 Gaziantep, Turkey
Haq, Mirajul
Department of Mathematics, Abdul Wali Khan University, Mardan 23200,
Pakistan
Khan, Bilal
School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, EasChina Normal University, 500 Dongchuan Road, Shanghai 200241, Peoples
Republic of China
In this paper, we define a new subclass of analytic functions involving the cosine functions. For this function class, we obtain the upper bound of the third Hankel determinant.
VFAST-Research Platform
2020-10-19 16:37:45
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/392
VFAST Transactions on Mathematics; Vol. 8 No. 1 (2020): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/393
2022-04-22T18:35:18Z
VTM:ART
nmb a2200000Iu 4500
"151225 2015 eng "
2309-0022
2411-6343
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Analysis of Ellis Fluid in Wire Coating
Ayaz, Muhammad
Gul, Taza
Islam, Saeed
Altaf, Muhammad
The focus of the present work is concerned with the study of wire coating analysis using Ellis fluid. Using the binomial series method, closed form solution is obtained and further in the closed form of solution, we discussed a special case for the parameter , and obtained the expressions for axial velocity, shear stress, average velocity, volume flow rate and temperature distribution. Thickness of the coated wire and force on the total wire are also calculated. The effect of different parameters of interest on the variation of the velocity profile, volume flow rate, shear stress, radius of coated wire and force on the total wire are discussed and presented graphically.
VFAST-Research Platform
2015-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/393
VFAST Transactions on Mathematics; Vol. 3 No. 1 (2015): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/394
2022-04-22T06:50:07Z
VTM:ART
nmb a2200000Iu 4500
"181217 2018 eng "
2309-0022
2411-6343
dc
Probabilistic Picture Graph
Yousaf, Sidra
Department of Mathematics, University of the Punjab, Lahore
Rehman, Asif Abd ur
Department of Mathematics, University of the Punjab, Lahore, Pakistan
The probabilistic graphs is an ecient mathematical tool to deal with uncertain real life problems. Probabilistic picture graph is an extension of probabilistic graphs corresponding to a given joint probability distribution. It can work very eciently in uncertain scenarios which involve more answers to these type, yes and no. In this work. we redene and introduce the idea of probabilistic graphs and probabilistic picture graphs. Some types of probabilistic picture graphs such as a strong probabilistic picture graph, complete probabilistic picture graph and complement of probabilistic picture graph are introduced and some properties are also described. The six operations namely cartesian product, composition, union, direct product, lexicographical product and strong product on probabilistic picture graph are also dened. Finally, we describe the utility of probabilistic graphs by revisiting application in a joint venture.
VFAST-Research Platform
2018-10-19 00:00:00
application/pdf
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/394
VFAST Transactions on Mathematics; Vol. 6 No. 1 (2018): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/418
2022-04-20T08:16:11Z
VTM:ART
nmb a2200000Iu 4500
"190409 2019 eng "
2309-0022
2411-6343
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Extension of Sufficient Conditions for P–Valent Starlike and Convex Function
Arif, M
Abdul Wali Khan University Mardan
Ayaz, Muhammad
Department of Mathematics, Abdul Wali Khan University Mardan
Asad, Muhammad
Department of Mathematics, Abdul Wali Khan University Mardan
In this article, we consider a subclass of p-valent analytic functions which generalize the classes of p-valent starlike and p-valent convex functions of complex order. For this class, certain simple sufficiency criteria are obtained and further some applications to the generalized Alexander integral operator is also given. Several known results appear as special cases of our work
VFAST-Research Platform
2019-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/418
VFAST Transactions on Mathematics; Vol. 7 No. 1 (2019): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/426
2022-04-19T02:38:35Z
VTM:ART
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"191231 2019 eng "
2309-0022
2411-6343
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More Modular Arithmetic in Five Regular Partitions by Jacobi Triple Product Formula
., Aneela
Department of Mathematics, University of the Punjab, Lahore, Pakistan
Mahmood, M. Khalid
Department of Mathematics, University of the Punjab, Lahore, Pakistan
Ahmad, Daud
Department of Mathematics, University of the Punjab, Lahore, Pakistan
Ali, Shahbaz
Khwaja Fareed University of Engineering and Information Technology
In a paper, Calkin et al., Divisibility properties of the 5-regular and 13-regular partition functions, Integers 8 (2008), [#A60], authors have discussed interesting properties for 5-regular partition functions of integers. In the continuation of this paper, we have obtained and conjectured various interesting results. In this note, we use nothing more than Jacobi's triple product identity to obtain results for 5-Regular Partitions that are stronger than those obtained by Calkin and his collaborators. The motivation for this paper is an observation that some generating functions of 5-Regular partitions are congruent to functions related to the Ramanujan's Q-series.
VFAST-Research Platform
2019-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/426
VFAST Transactions on Mathematics; Vol. 7 No. 1 (2019): January-December
eng
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oai:ojs.pkp.sfu.ca:article/576
2022-04-19T01:47:39Z
VTM:ART
nmb a2200000Iu 4500
"201118 2020 eng "
2309-0022
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Implementation of Discrete Search Optimization Algorithms in Parallel and Their Performance Analysis
Durad, Muhammad Hanif
Department of Computer and Information Sciences,
Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad
Zulqurnain, Mohammad
Department of Computer and Information Sciences,
Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad
Usman, Anila
Department of Computer and Information Sciences,
Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad
Ahmad, Idrees
Department of Nuclear Engineering
Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad
The present paper discusses the implementation of the discrete search optimization techniques on a parallel platform (SGI-Altix 450 shared memory 64 processors system). We show that the combination of Asynchronous Parallel Iterative Deepening and Parallel Window Search technique tends to give more challenging speedups, memory consumption, and efficiency with less resource consumption as compared to the rest of the techniques. In general 5 techniques are compared with Parallel Asynchronous Window Search technique among which includes Depth First Search, Parallel Iterative Deepening, Parallel A*, Parallel Window Search and Parallel Asynchronous Iterative Deepening A*.
VFAST-Research Platform
2020-10-19 16:37:45
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/576
VFAST Transactions on Mathematics; Vol. 8 No. 1 (2020): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/577
2022-04-19T02:38:35Z
VTM:ART
nmb a2200000Iu 4500
"191231 2019 eng "
2309-0022
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Parallelization of Encryption Algorithms using MPI
Durad, Muhammad Hanif
Department of Computer and Information Science (DCIS), Pakistan Institute of Engineering & Applied Sciences (PIEAS)
Raza, Ahmad
Department of Computer and Information Science (DCIS), Pakistan Institute of Engineering & Applied Sciences (PIEAS)
Asad, Ali
Department of Computer and Information Science (DCIS), Pakistan Institute of Engineering & Applied Sciences (PIEAS)
Akhtar, Muhammad Naveed
Department of Computer and Information Science (DCIS), Pakistan Institute of Engineering & Applied Sciences (PIEAS)
Encryption is a basic technique to achieve data confidentiality. A number of algorithms including RSA, DES, Blowfish, and AES have been parallelized using MPI and have been employed for practical file encryption. Unified performance analysis of all these algorithms has been presented using two ECB and counter modes. On basis of experimental results, some guidelines have been suggested for the end-user to select the appropriate algorithm for achieving enhanced speed up
VFAST-Research Platform
2019-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/577
VFAST Transactions on Mathematics; Vol. 7 No. 1 (2019): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/578
2022-04-22T06:50:07Z
VTM:ART
nmb a2200000Iu 4500
"181217 2018 eng "
2309-0022
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Mitigation of the effect of Standard Networks Attacks in SSL Encrypted Traffic by Encrypted Traffic Analysis
Hamad, Muhammad
Department of Computer and Information Sciences
Pakistan Institute of Engineering and Applied Sciences
Islamabad
Durad, Muhammad Hanif
Department of Computer and Information Sciences
Pakistan Institute of Engineering and Applied Sciences, Islamabad
Yousaf, Muhammad
Department of Computer and Information Sciences
Pakistan Institute of Engineering and Applied Sciences, Islamabad
With increased use of encryption, cyber threat landscape is changing. For general public this transition shifts to more private and safer internet experiences, but at the same time it is a serious concern for security personnel now. For them it hinders control over the traffic moving on their network and poses difficulty in traffic analysis and management. Security personals are interested in knowing how the network is being accessed, whether or not that traffic contains some malware and is safe enough and compliant with your organization’s policies. This project is not about decrypting the encrypted content of the packet’s payload as it will highly degrade network performance plus some advanced encryption algorithms like AES are assumed to be perfect. So the aim of this project is to analyze encrypted traffic and find out some interesting patterns without the need for bulk decryption. The analysis will be based on flow based features and metadata. Encrypted Traffic Analytics maintains the integrity of the encrypted flow and doesn’t affect the privacy of users.
VFAST-Research Platform
2018-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/578
VFAST Transactions on Mathematics; Vol. 6 No. 1 (2018): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/579
2022-04-19T02:38:35Z
VTM:ART
nmb a2200000Iu 4500
"191231 2019 eng "
2309-0022
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Unified Computational Analysis of Conventional Numerical Methods for Time Dependant Heat Equation
Akhtar, Muhammad Naveed
Department of Computer and Information Science (DCIS), Pakistan Institute of Engineering & Applied Sciences (PIEAS)
Durad, Muhammad Hanif
Department of Computer and Information Science (DCIS), Pakistan Institute of Engineering & Applied Sciences (PIEAS)
Usman, Anila
Department of Computer and Information Science (DCIS), Pakistan Institute of Engineering & Applied Sciences (PIEAS)
Haq, Irfan ul
Department of Computer and Information Science (DCIS), Pakistan Institute of Engineering & Applied Sciences (PIEAS)
The objective of this paper is to perform a unified error and computation time analysis of conventional numerical methods for solving the heat equation. The numerical techniques employed include Forward Difference, Backward Difference, Crank Nicolson, Alternate Directions Scheme, and DuFort-Frankel methods for the time-dependent heat equation. The heat equation has been implemented to 1-D, 2-D, and 3-D problems, both for the Neumann and Dirichlet boundary conditions. On basis of experimental results, theoretical justifications have been provided regarding the performance of each method.
VFAST-Research Platform
2019-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/579
VFAST Transactions on Mathematics; Vol. 7 No. 1 (2019): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1007
2023-03-29T02:08:40Z
VTM:ART
nmb a2200000Iu 4500
"220630 2022 eng "
2309-0022
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Marketing Competence of Cellular Networks in Mardan, Pakistan
Bilal, Muhammad
Department of Statistics, Abdul Wali Khan University Mardan, Pakistan
&
Balochistan University of Information Technology, Engineering and Management Sciences, Pakistan
Aamir, Muhammad
Department of Statistics, Abdul Wali Khan University Mardan https://www.buitms.edu.pk/Profile/FBS
Javed, Zobia
Department of Management and Social Sciences,University of Poonch, Rawalakot, Pakistan
Ahmed, Maqbool
Balochistan University of Information Technology, Engineering and Management Sciences, Pakistan
Khalid, Nida
Department of Statistics, Abdul Wali Khan University Mardan, Pakistan
Maintaining and expanding a reliable customer bank is an intimidating target for cellular phone service providers. Marketing drives are arranged to gain valuable insight into consumer’s preferences and service packages accordingly by network providers from time to time. The study aim is to check the demand and service quality of the Zong network in Mardan City in the presence of its competitors. A sample of 400 respondents was selected at random from Mardan City and surrounding areas, having 61% males and 39% female respondents. The questionnaire method was applied to collect purposeful data to get the conclusions. The findings indicated that Zong (37.2%) is being used by the majority of the respondents followed by Ufone (20.8%) and Telenor (18.4%). Being its good quality services, 59.2% of the respondents are in favor to use the Zong network, 57.2% of consumers are using Zong just because of its low tariff, and 46.6% of respondents are unsure to switch off the Zong connection in the next coming 5 or more months.
VFAST-Research Platform
2022-11-15 17:06:17
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/1007
VFAST Transactions on Mathematics; Vol. 10 No. 1 (2022): January-June
eng
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oai:ojs.pkp.sfu.ca:article/1019
2024-01-14T15:50:50Z
VTM:ART
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"211231 2021 eng "
2309-0022
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A Study of Fourth Hankel Determinant of Certain Analytic Function
Khan, Neelam
Department of Mathematics, Abdul Wali Khan University, Mardan 23200
Khan, Nazar
Department of Mathematics, Abbottabad University of Science and Technology,
Abbottabad, Pakistan
Frasin, Basem Aref
Department of Mathematics, Abbottabad University of Science and Technology,
Abbottabad, Pakistan
Haq, Mirajul
Department of Mathematics, Abdul Wali Khan University, Mardan 23200,
Pakistan
Khan, Bilal
School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East
China Normal University, 500 Dongchuan Road, Shanghai 200241, Peoples
Republic of China
The main motive of this paper is to
nd an upper bound of the fourth Hankel determinant H 4;1 (f) for a subclass S; with hyperbolic domain.
VFAST-Research Platform
2022-04-14 23:26:38
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/1019
VFAST Transactions on Mathematics; Vol. 9 No. 1 (2021): January-December
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1020
2024-01-14T15:57:09Z
VTM:ART
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"211231 2021 eng "
2309-0022
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Upper Bound Sequences of Rotationally Symmetric Triangular Prism Constructed as Halin Graph Using Local Fractional Metric Dimension
Farooq, Mamoona
Department of Mathematics, University of the Punjab, Lahore, Pakistan
Rehman, Asif Abd ul
Department of Mathematics, University of the Punjab, Lahore, Pakistan
Mahmood, M. Khalid
Department of Mathematics, University of the Punjab, Lahore, Pakistan
Ahmad, Daud
Department of Mathematics, University of the Punjab, Lahore, Pakistan
In this paper, we consider rotationally symmetric traingular planar network with possible planar symmetries. We find local fractional metric dimension of planar symmetries. The objective is to search sequences of local fractional metric dimension of triangular prism planar networks by joining different copies. We propose and prove generalized formulas of all sequences for local fractinal metric
dimension over triangular prism.
VFAST-Research Platform
2022-04-14 23:26:38
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/1020
VFAST Transactions on Mathematics; Vol. 9 No. 1 (2021): January-December
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1021
2024-01-14T16:29:33Z
VTM:ART
nmb a2200000Iu 4500
"211231 2021 eng "
2309-0022
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Structures of Digraphs Arizing from Lambert Type Maps
Sabahat, Tayyiba
Department of Mathematics, University of the Punjab, Lahore
Asif, Sufyan
Department of Mathematics, University of the Punjab, Lahore, Pakistan
Rehman, Asif Abd ur
Department of Mathematics, University of the Punjab, Lahore, Pakistan
The Well-known function W eW is called Lambert Map. This map has been viewed by many researchers for finding the approximate solutions of exponential function especially in numerical analysis. Later, it has been incorporated in number theory for finding integral solutions of exponential congruences under a fixed modulus. Instead of WeW, we use the function W2 e W and call this function as Discrete Lambert Type Function (DLTF). In this work, we produce graphs using DLTF, and discuss their structures. We show that the digraphs over DLTF satisfy many structures as these have been followed for using WeW. It would be of great interest, if these results could be generalized for WeWfor all integers n, in the future.
VFAST-Research Platform
2022-04-14 23:26:38
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/1021
VFAST Transactions on Mathematics; Vol. 9 No. 1 (2021): January-December
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1022
2024-01-14T16:11:11Z
VTM:ART
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"211231 2021 eng "
2309-0022
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Upper Bound of the Third Hankel Determinant for a Subclass of Multivalent Functions Associated with the Bernoulli Lemniscate
Ullah, Khalil
Department of Mathematics, Abdul Wali Khan University, Mardan 23200,
Pakistan
Younis, Jihad
Government Post Graduate Collage Dargai, Malakand, Pakistan
Ahmad, Khurshid
Department of Mathematics, Abdul Wali Khan University, Mardan 23200,
Pakistan
Manickam, A
School of Advanced Science and Languages (SASL), Department of Mathematics,
VIT Bhopal University Kothri Kalan, Bhopal-Indore Highway, Sehore Dt. Madhya
Pradesh - 466114 .
Khan, Bilal
4
School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East
China Normal University, 500 Dongchuan Road, Shanghai 200241, Peoples
Republic of China
Haq, Mirajul
Department of Mathematics, Abdul Wali Khan University, Mardan 23200,
Pakistan
Let RL; SL and CL represent the families of multivalent bounded turning, multivalent starlike, and multivalent convex functions that are subordinated with Bernoulli lemniscate in the open unit disk E = {z : |z|<1}. In this particular paper, our goal is to find the upper bounds of Hankel’s third order determinant for the above-mentioned families.
VFAST-Research Platform
2022-04-14 23:26:38
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/1022
VFAST Transactions on Mathematics; Vol. 9 No. 1 (2021): January-December
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1023
2024-01-14T16:27:33Z
VTM:ART
nmb a2200000Iu 4500
"211231 2021 eng "
2309-0022
2411-6343
dc
On Fixed Points of Digraphs Over Lambert Type Map
Sabahat, Tayyiba
Department of Mathematics, University of the Punjab, Lahore, Pakistan,
Asif, Sufyan
Department of Mathematics, University of the Punjab, Lahore, Pakistan,
Rehman, Asif Abd ur
Department of Mathematics, University of the Punjab, Lahore, Pakistan,
Define f(y)=y2hy where h belongs to (Z/mZ), the Discrete Lambert Type Map (DLTM). For a set of vertices and edges over DLTM, diagraphs are obtained in which the vertices are from a whole range of residues modulo a fixed integer s, and edges are obtained when f (y) ≡ v(modsK) is solvable in Y and in terms of Diophantine equation as well. In this paper we proposed new results for for fixed point of digraphs over DLTM.
VFAST-Research Platform
2022-04-14 23:26:38
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/1023
VFAST Transactions on Mathematics; Vol. 9 No. 1 (2021): January-December
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1027
2022-04-20T22:06:07Z
VTM:ART
nmb a2200000Iu 4500
"161221 2016 eng "
2309-0022
2411-6343
dc
Analysis of SIR Epidemic Models
Durad, Muhammad Hanif
Department of Computer and Information Science (DCIS),
Pakistan Institute of Engineering and Applied Sciences (PIEAS), P.O. Nilore, Islamabad, Pakistan
Naveed Akhtar, Muhammad
Department of Computer and Information Science (DCIS),
Pakistan Institute of Engineering and Applied Sciences (PIEAS), P.O. Nilore, Islamabad, Pakistan
Modeling epidemics has played a vital role in predicting the impact of a disease in a population and the ability to overcome it. The objective of this paper is to introduce the concept of agent based modeling classification for SIR epidemic model, suggest a new discrete-time agent based SIR model and formally document Gillespie’s Algorithm based SIR epidemic model. Furthermore a computational analysis of chemical master equation and Gillespie’s algorithm based SIR models
has been performed showing that the use of latter results in considerable reduction
in execution time
VFAST-Research Platform
2016-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/1027
VFAST Transactions on Mathematics; Vol. 4 No. 1 (2016): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1028
2022-04-22T06:50:07Z
VTM:ART
nmb a2200000Iu 4500
"220422 2022 eng "
2309-0022
2411-6343
dc
Exact solution of some nonlinear PDE$ {s} $ with conformable fractional derivative
Mohammadpour, Alireza
Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran.
In this article, the reduced differential transform method is improved to solve some nonlinear conformable time fractional partial differential equations. The solutions obtained by the purposed methd to solve the Korteweg-de Vries equation, k(m,n) for m=n=2, and Wu-Zhang (2+1)-dimensional dispersive long wave equation, show that the method is very effective.
VFAST-Research Platform
2018-10-19 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/1028
VFAST Transactions on Mathematics; Vol. 6 No. 1 (2018): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1029
2022-04-22T10:07:36Z
VTM:ART
nmb a2200000Iu 4500
"170422 2017 eng "
2309-0022
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On Cycle-Super magic Labeling of Some Families of Graphs
Riaz, Imtiaz
Department of Mathematics, COMSATS Institute of Information Technology Islamabad, Lahore Campus.
In this work we have formulated the result of H-magic labeling of some families of graphs which included wheel graph, fan graph, ladder graph and triangular ladder. The edges of these graphs were subdivided into equal nodes and we formulated total magic and supermagic labeling of these families of graphs. A labeling of a graph is basically assigning positive integers to the edges and vertices and H-magic labeling is define as a bijection is called -magic labeling of if there exists a positive integer -called the magic sum, such that for any subgraph of isomorphic to , the sum is equal to the magic sum, . A graph is -magic if it admits an -magic labeling. In addition, if -magic labeling has the property that , then the graph is -supermagic. .
VFAST-Research Platform
2017-10-13 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/1029
VFAST Transactions on Mathematics; Vol. 5 No. 1 (2017): January-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1030
2022-04-22T10:07:36Z
VTM:ART
nmb a2200000Iu 4500
"171231 2017 eng "
2309-0022
2411-6343
dc
Mobile Cloud Computing: Operational Issues
VFAST-Research Platform
2017-10-13 00:00:00
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/1030
VFAST Transactions on Mathematics; Vol. 5 No. 1 (2017): January-December
eng
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oai:ojs.pkp.sfu.ca:article/1079
2023-03-20T13:37:47Z
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Analysis of Entropy-dependent solitons in ETG-driven magneto plasma by Variational Iteration Method
Abbas, Tasawar
Department of Mathematics, University of Wah, Wah Cantt, 47040
Haq, Ehsan Ul
Department of Mathematics, Hong Kong Baptist University, Kowloon Tong Kowloon, Hong Kong.
Ayub, Ambreen
Department of Physics, Women University Swabi. Swabi Khyber Pakhtunkhwa
Dawood, Asadullah
Department of Physics, National Excellence Institute (University), Islamabad; 04524
Nowadays, the discovery of the link between entropy and plasma density and temperature opens up new avenues for mathematicians and researchers to examine alternative plasma models in terms of entropy. The linear dispersion relation and KdV equation are created after the entropy drift is taken into account in the ETG mode. In addition, the Variational Iteration Technique (VIM) is used to determine the problem’s analytical solutions. Involving the Langrange multiplier also helps to accelerate computation and lower its cost. Then, it is shown that in ETG mode, entropy impacts both the breadth and amplitude of rarefactive solitons, as well as the impact of inhomogeneity drift and the magnetic field on the configuration of solitons. In this instance, however, only the rarefactive solitons are present. Since introducing entropy to the system might alter the previous plasma findings, this study is new. Finally, the current approach will be applied to the entropy-based in magnetically restrained plasmas, solitary waves can be observed. The graphical findings are also provided using Maple-18.
VFAST-Research Platform
2022-11-14 18:26:28
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https://vfast.org/journals/index.php/VTM/article/view/1079
VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
eng
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oai:ojs.pkp.sfu.ca:article/1147
2023-03-20T13:37:47Z
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Power Hamy Mean Operators for managing Cubic Linguistic Spherical Fuzzy Sets and their Applications
Abbas, Tasawar
Department of Mathematics,University of Wah, Wah Cant, 47040
Mumtaz, Faisal
Department of Mathematics,University of Wah, Wah Cant, 47040, Pakistan
Hussain, Zamir
Department of Mathematics,University of Wah, Wah Cant, 47040, Pakistan
Zafar, Rehan
Department of Mathematics,University of Wah, Wah Cant, 47040, Pakistan
In modern social administrative economic activities, we are facing a considerable amount of multi-attribute group decision making problems. The methods and theory related to this method are very useful in the field of particular disciplines as well as in operational research, and a lot of achievements have been described. Obviously the real world is full of uncertainties and classical set theory cannot be used to describe different phenomena such as beauty, intelligence, height (tallness) and age etc. This thing leads mathematicians to develop the notion of fuzzy sets. Later Zadeh introduced the concept of membership and non-membership degree. Definitely human opinion about a phenomenon may be unidirectional or multi-directional, that’s why Atanossov proposed the concept of another advance type of fuzzy sets, which is known as intuitionistic fuzzy sets. His concept is based on a degree of membership and degree of non-membership with a exquisite that their sum must not exceed 1. In our work we introduced cubic linguistic spherical fuzzy sets. Then, we proposed the fundamental operation law for CLSFVs and a series of their average operators (AOs), such as the (cubic linguistic spherical fuzzy power average), (cubic linguistic spherical fuzzy power weighted average), (cubic linguistic spherical fuzzy power hamy mean) and (cubic linguistic spherical fuzzy power weighted hamy mean) operators, was developed by combining the power average and hamy mean operators in cubic linguistic spherical fuzzy environment. Also we described some specific desirable properties of all these operators. In addition, we suggested a new MAGDM method.
VFAST-Research Platform
2022-11-14 18:26:28
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VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
eng
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oai:ojs.pkp.sfu.ca:article/1151
2023-03-20T13:37:47Z
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Using Crank-Nicolson’s scheme to discretize the Laplacian in a polar gird system with symmetric and asymmetric lines
Mallah, Rabnawaz
Department of Mathematics, Shah Abdul Latif University, KhairpurMirsDistrict-66020,Pakistan,
Siyal, Wajid Ahmed
Aslam, Saira
University Malaysia Sarawak
Sial, Muhammad Suleman
Department of Basic Sciences and Related Studies,Mehran University of Engineering and Technology,
Pakistan
Soomro, Inayatullah
Shah Abdul Latif University, Khairpur, Pakistan
Numerous techniques exist for solving and describing the Partial differential equation’s mathematical and computational model. The Laplacian operator is one of the most effective techniques for solving linear and nonlinear partial differential equations. It is quick, and researchers use it frequently because of its modern technique and high accuracy in results. The Crank-Nicolson (CN) scheme in the Cartesian coordinate system has been discussed in this research work. Using this method, a numerical approximation scheme in Cartesian coordinate
system has been discretized on a 5 point stencil, extendable to nine points. The Tailor Series was used to discretize this scheme on 5-point stencils, which will be used in FORTRAN code for numerical approximation and can be visualized in OPEDX software. The Nicolson scheme is a finite difference scheme used to solve partial differential equations such as heat, wave, and diffusion equations in both 1-D and 2-D. Because of his extendable stencil, it will create accuracy and stability in the novel results of the scheme. These extendable stencils will reduce the error of the scheme and will assist researchers in finding novel results by solving ODES and PDES using the CN method.
VFAST-Research Platform
2022-11-14 18:26:28
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VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
eng
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oai:ojs.pkp.sfu.ca:article/1153
2023-03-20T13:37:47Z
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Assessment of the COVID-19 Pandemic's Impact on Gasoline Prices in Pakistan
Bilal, Muhammad
Department of Mathematical Sciences, Balochistan University of Information Technology, Engineering and Management Sciences (BUITEMS), Quetta 87300, Pakistan
Aamir, Muhammad
Department of Statistics, Abdul Wali Khan University Mardan 23200, Pakistan
Abdullah, Saleem
Department of Mathematics, Abdul Wali Khan University Mardan 23200, Pakistan
Mahmood, Noor
Department of Statistics, Abdul Wali Khan University Mardan 23200, Pakistan
Khalil, Umair
Department of Statistics, Abdul Wali Khan University Mardan 23200, Pakistan
Khalid, Nida
Department of Statistics, Abdul Wali Khan University Mardan, Pakistan
Ahmed, Maqbool
Department of
Mathematical Sciences, Balochistan University of Information Technology, Engineering
and Management Sciences (BUITEMS), Quetta, Pakistan
Naeem, Muhammad
Department of Statistics, Abdul Wali Khan University Mardan 23200
Muhammad, Shakoor
Department of Mathematics, Abdul Wali Khan University Mardan 23200
Dar, Laiba Sultan
Department of Statistics, Abdul Wali Khan University Mardan 23200, Pakistan
Abstract The COVID-19 virus is a pandemic that, from the outset, alters its appearance and symptoms. It has aggressively spread around the world. The COVID-19-induced fear and uncertainty are disrupting the global economy and exacerbating financial market volatility. The most impacted countries were the United States, the United Kingdom, India, and Pakistan. The continuing COVID-19 situation is both a public health and economic concern on a worldwide. This research aims at how the spread of the COVID-19 has affected the cost of gasoline,
diesel, and liquefied petroleum gas (LPG). Every week, statistics on COVID-19 instances and pricing are collected. The data was analyzed using the ARDL model and the Bound test to determine the short and long-term association between COVID-19 and prices. The Autoregressive distributive lag model findings reveal that confirmed and mortality cases impact fuel, diesel, and LPG prices.
VFAST-Research Platform
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https://vfast.org/journals/index.php/VTM/article/view/1153
VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
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oai:ojs.pkp.sfu.ca:article/1154
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"230912 2023 eng "
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Quantitative Analysis of Long-term Dynamic Relationships between Crude Oil, gold, exchange rates, and stock prices: An Auto Regressive Distributive Lag Approach in Pakistan
Shah, Muzafar Ali
Lecturer Dept. of Business Administration Sindh Madressatul Islam University Karachi
Channar, Zahid Ali
Dept. of Business Administration Sindh Madressatul Islam University Karachi, Pakistan
Dahri, Safia Amir
Dept. of Business Administration Sindh Madressatul Islam University Karachi, Pakistan
Soomro, M. Afzal
Dept. of Mathematics & Statistics, QUEST, Nawabshah, Pakistan
Since crude oil is Pakistan's main source of imports, the current study empirically investigates the long-term dynamic relationships between changes in international price of crude oil and gold on macroeconomic indicators, particularly the exchange rate and stock market index. Therefore, international oil prices, Brent oil prices are used as a proxy which were obtained from Federal Reserve Economic Data (FRED) database, gold spot prices data were acquired from World Gold Council website, stock market index, KSE-100 index was used as a proxy and the data was collected from Investing.com website, and the data for exchange rate for Pakistani rupee against US Dollar (PKR/USD) was obtained from Investing.com. The sample period included in this study is from the year 2000 to 2021. The paper employs the Auto regressive Distributive Lag (ARDL) technique to analyze the dynamic relationships among the variables. Findings suggest ARDL has been useful in capturing the long-run relationship i.e., crude oil and gold international prices are significant variables and have impact on stock market and exchange rate.
VFAST-Research Platform
2023-09-14 17:34:42
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https://vfast.org/journals/index.php/VTM/article/view/1154
VFAST Transactions on Mathematics; Vol. 11 No. 2 (2023): July-December
eng
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oai:ojs.pkp.sfu.ca:article/1170
2023-03-20T13:37:47Z
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Optimum solutions of partial differential equation with initial condition using optimization techniques
Bilal, Muhammad
Department of Mathematical Sciences, BUITEMS, Quetta 87300, Pakistan
Muhammad, Shakoor
Abdul Wali Khan University Mardan, KP, Pakistan
Ullah, Nekmat
Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa,23200, Pakistan
Hanan, Fazal
Department of Mathematics, AIOU, Islamabad, Pakistan
Ullah, Subahan
Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa,23200, Pakistan
This paper proposes a new minimization technique for the solutions of partial differential equation with initial conditions. The proposed procedure is used to minimize the obtained solutions through any numerical technique. For
the minimization process, Non-linear Nelder-Mead Simplex algorithm and genetic algorithm are used as optimization techniques. The designed partial differential equation has been calculated as an error function for the minimization process. Both Non-linear Nelder-Mead Simplex and genetic algorithm guarantees the minimization of nonlinear partial differential equation with initial conditions. The resultant technique has a global validity for the solutions minimization of partial differential equations. Non-linear Nelder-Mead simplex showed better performance than genetic algorithm when tested on numerical instances.
VFAST-Research Platform
2022-11-14 18:26:28
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VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
eng
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oai:ojs.pkp.sfu.ca:article/1179
2023-03-20T13:37:47Z
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Delta Perturbation Method for Couette-Poiseuille flows in Third grade fluids
Memon, Kamran Nazir
Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan;
Mushtaque, Ahsan
Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan;
Shaikh, Fozia
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro , Sindh, Pakistan
Ghoto, AA
Department of BSRS, QUEST Nawabshah, Sindh, Pakistan
Siddiqui, A. M.
Pennsylvania State University, York Campus, Edgecombe 17403, USA
This work uses the Delta Perturbation Method (DPM) to theoretically evaluate the steady plane Couette-Poiseuille flowbetween two parallel plates for third-grade fluid.That'sa kind of perturbation approach and was deliveredwith the aid of Bender and his colleagues in the 1980s. Utilizing DPM, analytical solutions have been found from the governing continuity and momentum equations subject to the necessary boundary conditions. In this proposed model, the Newtonian solution is obtained through the substitution. It is possible to measure the velocity field, temperature distribution, volumetric flow rate, and average velocity of the fluid flow. We derived that the third-grade fluid's velocity will change in response to an increasing material constant from the visual and table representations of the impacts of different parameters on the velocity and temperature profiles.The suggested model additionally mentions temperature distribution losses with increases in thermal conductivity and rises as a result of increases of dynamic viscosity , constant parameters and and material constant. Here we have also find out that temperature distribution and velocity profile enhance with higher magnitude of pressure gradient
VFAST-Research Platform
2022-11-14 18:26:28
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VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
eng
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oai:ojs.pkp.sfu.ca:article/1184
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Analytical Solution of Transient Flow of Fractional Oldroyd-B Fluid between Oscillating Cylinders
Shaikh, Khadija
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro 76090, Sindh
Shaikh, Fozia
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro 76090, Sindh, Pakistan
Khokhar, Rahim Bux
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro 76090, Sindh, Pakistan
Memon, K.N.
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro 76090, Sindh, Pakistan
This paper investigates the fractional Oldroyd-B fluid flow across two interminable coaxial cylinders, where the fluid’s motion is generated by the oscillatory movement of cylinders and the oscillating pressure gradient. The profile of velocity and shear stress of the flow is derived with the assistance of Caputo fractional derivative utilizing an analytical technique, finite Hankel transform and Laplace transforms. The semi-analytical solution is then displayed as generalized functions of G and R satisfying fundamental constitutive equations and all initial and boundary conditions. To validate the results, some limitations have been imposed on the determined equations and the results have been contrasted against previous results. Moreover, the influence of various parameters on the flow of fractionalized Oldroyd-B fluid is investigated and depicted graphically.
VFAST-Research Platform
2022-11-14 18:26:28
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VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
eng
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oai:ojs.pkp.sfu.ca:article/1186
2022-12-11T13:15:08Z
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Image Driven Isotropic Diffusivity and Complementary Regularization Approach for Image Denoising Problem
Pirzada, Memoona
Department of Mathematics and Statistics, Quaid-e-Awam, University of Engineering, Science and Technology, Nawabshah, Pakistan
Amur, Khuda Bux
Department of Mathematics and Statistics, Quaid-e-Awam, University of Engineering, Science and Technology, Nawabshah, Pakistan
Arain, Muzaffar Bashir
Department of Mathematics and Statistics, Quaid-e-Awam, University of Engineering, Science and Technology, Nawabshah, Pakistan
Malookani, Rajab Ali
Department of Mathematics and Statistics, Quaid-e-Awam, University of Engineering, Science and Technology, Nawabshah, Pakistan
We present the idea of image driven isotropic diffusivity along with complementary regularization for image denoising problem. The method is based on the optimization of a quadratic function in L2 norm. The minimization
of the energy functional leads to the Partial Differential equation (PDE)-based problem. We are looking for a steady state solution of equivalent time dependent problem. We discretize the problem with standard finite differences. The steady-state numerical solution of the time dependent problem leads to the iterative procedure, which allow to compute a regularized version of the solution as a denoised image. We have applied our designed model on synthetic as well as real images. The numerous experiments have been conducted to analyse the performance of the method for the different choices of scaling parameters. From the quality of the obtained results and comparative study it is observed that the proposed model performs well as compared to well existing methods.
VFAST-Research Platform
2022-11-15 17:06:17
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https://vfast.org/journals/index.php/VTM/article/view/1186
VFAST Transactions on Mathematics; Vol. 10 No. 1 (2022): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1187
2024-03-05T17:44:19Z
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"230901 2023 eng "
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Construction of Substitution Boxes Using Finite Fields
Umrani, Naveed Ahmed
Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science, and Technology Nawabshah, Pakistan
Pali, Iqrar Ali
Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science, and Technology Nawabshah, Pakistan
Dahri, Safia Amir
Department of Telecommunication Engineering, Quaid-e-Awam University of Engineering, Science, and Technology Nawabshah, Pakistan.
Muhammad Afzal Soomro
Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science, and Technology Nawabshah, Pakistan
Kamran Nazir Memon
Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science, and Technology Nawabshah, Pakistan
Substitution boxes (S-boxes) play a crucial role in modern cryptographic algorithms, providing
non-linear transformations that enhance the security of data encryption. S-boxes are essential
components of symmetric key ciphers, such as Advanced Encryption Standard (AES) and Data
Encryption Standard (DES). Non-linearity is a fundamental property that resists linear attacks
and enhances the cryptographic strength of S-boxes. Constructing secure and efficient S-boxes
with high non-linearity is a critical challenge in cryptography. The problem of this research is
to develop a systematic approach for constructingsubstitution boxes (S-boxes) using finite fields,
with a particular focus on achieving optimal non-linearity to enhance the security of cryptographic
algorithms.
VFAST-Research Platform
2023-09-14 17:34:42
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https://vfast.org/journals/index.php/VTM/article/view/1187
VFAST Transactions on Mathematics; Vol. 11 No. 2 (2023): July-December
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1188
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Algebra Based Encryption and Decryption Algorithms
Kamboh, Shakeel Ahmed
Department of Mathematics and Statistics, QUEST, Nawabshah
Khaskheli, Suhail Aslam
Department of General Faculty, Faculty of Science and Technology, Shaheed Benazir Bhutto University, Nawabshah, SBA, Pakistan
Ghoto, Abbas Ali
Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
Aassori, Sunny Kumar
Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
Arain, Muzaffar Bashir
Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
In this study an encryption/decryption algorithm is proposed and developed. The developed algorithm is based on the idea that any given plain text can be encrypted like a block cipher with a combination of three encryption keys k1, K2, ...KN that use any value between N = 1, 2, 3, n, . Then the cipher values can be used to make the blocks of alphabets containing only A, B, C, D, E, F, G, H, I, J, each block is separated by a space. The steps of algorithm could also be reversible for decryption of the cipher text. A MATLAB code is written to implement the algorithm and tested different input messages.Secret message consists of website
link and bank account details. The specialty of the algorithm is that it can be flexibly used to encrypt and decrypt the secret messages containing not only English alphabets but also those messages containing the numbers, punctuations, elementary mathematics operations and the special characters. The performance of the algorithm is evaluated in terms of computational time, memory usage. From the analysis it is found that the proposed algorithm is faster in terms of execution time as compared to the modern algorithm which makes the algorithm computationally
secure. The proposed research particularly contributes as the addition of knowledge in the field of cryptography and generally to the information security; consequently can be beneficial to the society.
3
VFAST-Research Platform
2022-11-15 17:06:17
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VFAST Transactions on Mathematics; Vol. 10 No. 1 (2022): January-June
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oai:ojs.pkp.sfu.ca:article/1189
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3D Finite Difference Formulation and Simulation of EHD Ion-Drag Model
Kamboh, Shakeel Ahmed
Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
Kamboh, Sakina
Department of nStatistics, University of Sindh, 76080, Jamshoro, Pakistan
Ghoto, Abbas
Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
Shaikh, Fozia
Department of Basic Sciences
and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Sindh,
Pakistan;
ahmed, Nawab
Lecturer department of Natural Sciences , Begum Nusrat Bhutto Women University Sukkur, Pakistan
Memon, Kamran Nazir
Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
This paper presents the simulation of electrohydrodynamically driven micropump obtained by using 3D finite difference method. EHD governing equations are discretized and then explicitly defined for output parameters. A 3D prototype of ion-drag micropump with symmetric electrodes is modeled and simulated for the velocity, the pressure, electric potential and electric field. The objective of this study was to evaluate the results obtained by finite difference method (FDM) with the results obtained by a finite element method (FEM) based
simulation package COMSOL Multiphysics. The comparison reveals that the numerical simulation results obtained by both the methods are appreciably close
to each other. The simulation results are also compared with the existing ex- perimental data and it was found that there are not high discrepancies between simulation and experimental results. The paper concludes that in case of regular geometries of ion-drag micropump the FDM is easy to implement and provides more control on different parameters involved in the simulation as compared to built-in finite element method based package.
VFAST-Research Platform
2022-11-15 17:06:17
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https://vfast.org/journals/index.php/VTM/article/view/1189
VFAST Transactions on Mathematics; Vol. 10 No. 1 (2022): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1211
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Effect of the Arbitrary Coefficients on the convergence of numerical solution of General Second Order Linear Homogeneous Partial Differential Equation
Zardari, Liaquat Ali
Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering,
Science and Technology, Nawabshah, Pakistan
Kamboh, Shakeel Ahmed
Department of Mathematics and Statistics, QUEST, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, Pakistan
Ghoto, Abbas Ali
Department of Mathematics and Statistics, QUEST, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, Pakistan
Kumar Luhana, Dr. Kirshan
Department of Computer Science, Laar Campus, Sindh University Jamshororo, Pakistan
Nizamani, Dr. Shah Zaman
Department of Information Technology, Quaid-e-Awam University, Pakistan
In this study the effect of the coecients on the convergence of numerical solution of general second order linear homogeneous partial differential equation has been investigated. The main objective was to determine the sensitivity of the coecients of the PDE in relation to the domain and mesh size. The nite difference method was used to discretize the PDE and numerical solution was obtained by implementing the algorithm on MATLAB. The outcomes of the research have provided interesting facts about the stable values of the coecients. From the results it is found that the arbitrary coecients d and e are more sensitive as compared to a, b, c and f. The outcomes of this research study are expected to provide the ways to predict and control the numerical solution convergence behavior obtained by the general second order PDE based on the variable coecients of the PDE.
VFAST-Research Platform
2022-11-14 18:26:28
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VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
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oai:ojs.pkp.sfu.ca:article/1215
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Unsteady Flow of an MHD Tangent Hyperbolic Nanofluid Over a Stretching Sheet
Jamal, Muhammad Asif
Department of Basic Science Usman Institute of technology university, Karachi, Pakistan
Faizan, M.
Department of Basic Science Usman Institute of technology university, Karachi, Pakistan
Farid, Ahmed
Department of Basic Science Usman Institute of technology university, Karachi, Pakistan
Shaikh, Fozia
Department of Basic Sciences and Related Studies, Mehran University of
Engineering and Technology, Jamshoro 76090, Sindh, Pakistan;
hanif, Fozia
Department of
Mathematical Science, Pakistan, 75300
Abstract The recent article addresses the unsteady flow of MHD incompressible tangent hyperbolic fluid with Nanofluid particles in the direction of a stretching surface. Nano-fluid is related to thermo-phoretic and Brownian movement. With proper help through the transformation procedure, the set of non-linear (PDEs) is re-framed into (ODEs). The initiate expressions of momentum, temperature field, and nano-particle concentration are composed into groups of nonlinear equations. That consequential terminology is computed shooting system. The impact of fundamental parameters on the flow field, thermal circulation, and meditation is described. Moreover, the flow field behavior due to the Wall friction, local Nusselt, and Sherwood numbers are examined. This study is significant as this transformation determined the shooting technique’s numerical result and ensured the physical parameters’ behavior graphically. The results show that the velocity field diminishes by escalating the Weissenberg (We) figure and power-law index (n), while thermal and concentration fields remain to detect elevating at similar parameters. Furthermore, the computed result is compared with existing literature and gets accuracy.
VFAST-Research Platform
2022-11-15 17:06:17
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https://vfast.org/journals/index.php/VTM/article/view/1215
VFAST Transactions on Mathematics; Vol. 10 No. 1 (2022): January-June
eng
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oai:ojs.pkp.sfu.ca:article/1219
2023-07-08T02:11:27Z
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An Innovative Soft Rough Dual Hesitant Fuzzy Sets and Dual Hesitant Fuzzy Soft Rough Sets
Abbas, Tasawar
Department of Mathematics,University of Wah, Wah Cant, 47040
Zafar, Rehan
Department of Mathematics,University of Wah, Wah Cant, 47040, Pakistan
Anjum, Sana
Department of Mathematics,University of Wah, Wah Cant, 47040, Pakistan
Ayub, Ambreen
Department of Mathematics,University of Wah, Wah Cant, 47040, Pakistan
Hussain, Zamir
Department of Mathematics,University of Wah, Wah Cant, 47040, Pakistan
This article seeks to demonstrate the novel properties of soft rough dual hesitant fuzzy sets (DHFSRSs) and dual hesitant fuzzy soft rough sets (SRDHFSs). The fundamental characteristics of DHFSRSs and SRDHFSs are thoroughly
investigated. Additionally, we present a portrayal hypothesis for the DHFSRSs and SRDHFSs, which demonstrates that the level arrangements of the DHFSRSs and SRDHFSs can be used to characterize both the lower and upper DHFSRSs and SRDHFSs estimates in an identical manner.
VFAST-Research Platform
2023-03-05 15:47:17
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VFAST Transactions on Mathematics; Vol. 11 No. 1 (2023): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1288
2023-03-20T13:37:47Z
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A Novel Two Point Optimal Derivative free Method for Numerical Solution of Nonlinear Algebraic, Transcendental Equations and Application Problems using Weight Function
Jamali, Sanaullah
Institute of Mathematics and Computer Science, University of Sindh, Jamshoro, Sindh-Pakistan
Kalhoro, Zubair Ahmed
Institute of Mathematics and Computer Science, University of Sindh, Jamshoro, Sindh-Pakistan
Shaikh, Abdul Wasim
Institute of Mathematics and Computer Science, University of Sindh, Jamshoro, Sindh-Pakistan
Saleem Chandio, Muhammad
Institute of Mathematics and Computer Science, University of Sindh, Jamshoro, Sindh-Pakistan
Dehraj, Sanaullah
Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, 67480, Nawabshah, Sindh-Pakistan
It’s a big challenge for researchers to locate the root of nonlinear equations with minimum cost, lot of methods are already exist in literature to find root but their cost are very high In this regard we introduce a two-step fourth order method by using weight function. And proposed method is optimal and derivative free for solution of nonlinear algebraic and transcendental and application problems. MATLAB, Mathematica and Maple software are used to solve the convergence and numerical problems of proposed and their counterpart methods.
VFAST-Research Platform
2022-11-14 18:26:28
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https://vfast.org/journals/index.php/VTM/article/view/1288
VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1289
2023-03-20T13:37:47Z
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"221231 2022 eng "
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A new three step derivative free method using weight function for numerical solution of non-linear equations arises in application problems
Jamali, Sanaullah
Institute of Mathematics and Computer Science, University of Sindh, Jamshoro, Sindh-Pakistan
Kalhoro, Zubair Ahmed
Institute of Mathematics and Computer Science, University of Sindh, Jamshoro, Sindh-Pakistan
Shaikh, Abdul Wasim
Institute of Mathematics and Computer Science, University of Sindh, Jamshoro, Sindh-Pakistan
Chandio, Muhammad Saleem
Institute of Mathematics and Computer Science, University of Sindh, Jamshoro, Sindh-Pakistan
Dehraj, Sanaullah
Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, 67480, Nawabshah, Sindh-Pakistan
Abstract In this paper a three-step numerical method, using weight function, has been derived for finding the root of non-linear equations. The proposed method possesses the accuracy of order eight with four functional evaluations.
The efficiency index of the derived scheme is 1.682. Numerical examples, application problems are used to demonstrate the performance of the presented schemes and compare them to other available methods in the literature of the same order. Matlab, Mathematica 2021 & Maple 2021 software were used for numerical results.
VFAST-Research Platform
2022-11-14 18:26:28
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https://vfast.org/journals/index.php/VTM/article/view/1289
VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1301
2023-07-08T02:11:27Z
VTM:ART
nmb a2200000Iu 4500
"230317 2023 eng "
2309-0022
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Solution of Time-Fractional Third-Order Partial Differential Equations of One and Higher Dimensions
Ali, Safdar
Department of Mathematics, University of Karachi, Karachi, Pakistan
Hanif, Fozia
Department of Mathematics, University of Karachi, Karachi, Pakistan
Ilyas, Muhammad
Department of Mathematics, University of Karachi, Karachi, Pakistan
Shams, Rehan
Telecommunication Engineering Department, Sir Syed University of Engineering & Technology, Karachi, Pakistan
Rehan, Muhammad
Electronic Engineering Department, Sir Syed University of Engineering & Technology, Karachi, Pakistan
Inayatullah, Syed
Department of Mathematics, University of Karachi, Karachi, Pakistan
The purpose of this study is to develop the third order time fractional partial differential equations (PDEs) in one and higher dimensions, by taking Laplace Adomian decomposition method (LADM) and q-homotopy analysis transform method (q-HATM). To define fractional derivative, the Caputo operator is used for both fractional and integer orders. The solutions are obtained in the form of series. To understand the procedure of the suggested procedure, three numerical examples are taken. The graphs are plotted for the proposed solution at different values of fractional order ???? which is 0< ???? ≤ 1. Both proposed methods are implemented by using (LADM) and (q-HATM) showing that the proposed technique is found to be better and accurate instrument for solving linear and non-linear time fractional PDEs. The Novelty of the proposed study is that the provided solution for fractional order partial differential equations has never been attempted for third order, this means that the provided solution can solve the third order and could be generalized for the higher order also.
VFAST-Research Platform
2023-03-05 15:47:17
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https://vfast.org/journals/index.php/VTM/article/view/1301
VFAST Transactions on Mathematics; Vol. 11 No. 1 (2023): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1304
2023-03-20T13:37:47Z
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"221231 2022 eng "
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Analysis of Two-Level Complex Shifted Laplace Preconditioner and Deflation-Based Preconditioner for Helmholtz Equation
Rajput, Rao Faisal
Department of Mathematics & Statistics, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, Pakistan
Shiekh, Hanan
Department of Mathematics, College of Computer Science and Informatin Systems, Institute of Business Management, Korangi Creek, Karachi, Pakistan
Amur, K. B.
Department of Mathematics & Statistics, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, Pakistan
A Long time deflation preconditioner is used to speed up the convergence of the Krylov subspace method. The discretization of Helmholtz equation with Dirichlet boundary condition by finite difference method obtained any linear system. Resolving a large wavenumber requires a larger number of Grid points, i.e. large linear systems. Thus due to the large linear system, many (sparse) direct methods have taken more memory, So we have used the (iterative technique) Krylov subspace method. One of the problems of the Krylov subspace method is the required preconditioner for better convergence. We use (CSLP) as a preconditioner and drive eigenvalues of (CSLP). However, with increasing wavenumber CSLP shows slow convergence behavior. Then we use another projection-type preconditioner as a deflation preconditioner. A rigorous Fourier analysis (RFA) is a separate research idea to examine the con- vergence of the iterative method included in this article. We analyze the deflation preconditioner with a complex shifted Laplace preconditioner (CSLP) which exhibition spectral behavior of the preconditioner, which is favorable to the Krylov method.
VFAST-Research Platform
2022-11-14 18:26:28
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VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1313
2023-10-07T05:05:29Z
VTM:ART
oai:ojs.pkp.sfu.ca:article/1320
2023-12-09T04:58:15Z
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"221231 2022 eng "
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The melting behavior of Paraffin RT-50 in a finned cylindrical surface
Ali, Waris
Deptt of BSRS, Mehran Uni of Engg and Tech, Jamshoro, Pakistan.
Department of Mathematics, University of Education Lahore, Multan Campus, Punjab, Pakistan.
Shaikh, Asif Ali
Deptt of BSRS, Mehran Uni of Engg and Tech, Jamshoro, Pakistan.
Shah, Feroz
Deptt of BSRS, Mehran Uni of Engg and Tech, Jamshoro, Pakistan.
Hussain, Sajjad
School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore.
&
Department of Mathematics, Govt Postgraduate College Layyah, Punjab, Pakistan.
The energy provision is one of the main concerns of modern technological processes and thermal management systems. Through latent heat energy, the storage of thermal energy using phase-change materials is examined in this paper. Paraffin Rubitherm 50 is filled in the cylinder. The base of the cylinder is heated and the vertical surface is made adiabatic. The melting procedure for two cases namely the plane surface and finned surface of the cylinder are considered. The melt fractions are observed and photographed for fixed intervals of time from solid state to total melt state. Initially, the melting of specified PCM was slow and then it became faster when convection heat transfer is accompanied with the conduction. The melting of PCM is geared with fin presence.
VFAST-Research Platform
2022-11-14 18:26:28
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VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
eng
Copyright (c) 2023 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1338
2023-12-09T05:02:12Z
VTM:ART
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"221231 2022 eng "
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Effect of Slip Condition on Unsteady Tank Drainage Flow of third Order Fluid
Mahar, Muneer Ahmed
Department of Basic Science and Related Studies, Mehran University of Engineering
and Technology Jamshoro, Pakistan
Memon, Kamran Nazir
*Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan;
Shah, Syed Feroz
Department of Basic Science and Related Studies, Mehran University of Engineering
and Technology Jamshoro, Pakistan
Amur, Azam Ali
Department of Basic Science and Related Studies, Mehran
University of Engineering and Technology Jamshoro, Pakistan
Siddiqui, A. M.
Pennsylvania State
University, York Campus, Edgecombe 17403, USA
Unsteady, isothermal, and incompressible third-order fluid is considered in the tank, cylindrical coordinates are taken into account and the flow of the fluid is considered in the z-direction. The behavior of viscoelastic fluid is analyzed with slip conditions. Velocity profile, flow rate, and mathematical relation between time depth of mass and time efflux, etc. are calculated with the perturbation method. Perturbation is a suitable technique for nonlinear partial differential equations because it converts them into the linear form which is easy to solve. Different physical flow parameters are inspected graphically. A comparison of slip and no-slip is presented also Newtonian and third-order fluids are compared too.
VFAST-Research Platform
2022-11-14 18:26:28
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VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
eng
Copyright (c) 2023 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1344
2023-12-09T05:17:04Z
VTM:ART
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"221231 2022 eng "
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Improved Mid-Point Derivative based Closed Newton-Cotes Quadrature Rule
Saand, Mir Sarfraz Khalil
Institute of Mathematics and Computer Science University of Sindh, Jamshoro, Pakistan
Rind, Shakeel
Institute of Mathematics and Computer Science University of Sindh, jamshoro
Ahmed, Zuabir
Institute of Mathematics and Computer Science University of Sindh, jamshoro
Wasim, Abdul
Institute of Mathematics and Computer Science University of Sindh, jamshoro
Ali, Owais
Institute of Mathematics and Computer Science University of Sindh, Jamshoro, Pakistan
The main motivation for this work lies in the construction of new and efficient methods to improve the efficiency index of ‘Mid-Point Derivative Based Closed Newton-Cotes Quadrature Rules’. Proposed methods use the derivative values at the mid-points in each strip of integrations such as Mid-Point Derivative Based Closed Trapezoidal, Simpson One Third, Simpson Three eight and Bool’s Rule. The degree of precision and order of accuracy of proposed methods are higher than all the existing methods. Furthermore, error terms of the proposed methods are calculated by using the concept of precision. An extensive comparison of the proposed formulas, classical and mid-point quadrature rules for the number of function evaluation, error terms, coefficient of error terms and results obtained from some different problems are given. The comparisons illustrate that the new proposed Closed Newton-Cotes Rules are much superior to Classical Rules and Zhao and Li’s ‘Mid-Point Derivative Based Closed Newton-Cotes Quadrature’ schemes.
VFAST-Research Platform
2022-11-14 18:26:28
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VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
eng
Copyright (c) 2023 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1352
2023-12-09T05:07:05Z
VTM:ART
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"221231 2022 eng "
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Exact solution on the impact of slip condition for unsteady tank drainage flow of Ellis fluid
Shaikh, Naina Salar
Department of Mathematics and Statistics, Quaid e Awam University of Engineering Science and Technology, Nawabshah, SBA, Sindh Province, Pakistan
Memon, Kamran Nazir
Department of Mathematics and Statistics, Quaid e Awam University of Engineering Science and Technology, Nawabshah, SBA, Sindh Province, Pakistan
Sial, Muhammad Suleman
Department of Basic Sciences and Related Studies, MUET, Jamshoro, Sindh, Pakistan
Siddiqui, A. M.
York Campus of Pennsylvania State University, Edgecombe 17403, United States of America
In this paper, we look into the effect of slip condition on isothermal and incompressible Ellis fluid of an unsteady tank drainage flow. The non-linear PDE (partial differential equation) is solved exactly by applying the governing continuity and momentum equations, subject to the proper boundary condition, using the separation of variables approach. Unique situations this model put out by Ellis fluid is used to develop concepts like Newtonian, Power law model, and Bingham Plastic model solution. On setting the slip parameterexact solution for Ellis fluid flow is retrivred as well as Newtonian solution is bring back, which was done through Bernoulli's equation. Expressions for velocity field, pipe shear stress, volume flux, velocity average, depth of fluid in the tank at different times and also the relationship between length of the time be different with depth of the tank and the length of time required to complete the drainage is determined. Graphical representation is given of the effects of various development factors on the velocity field Vz and fluid depth H(t). The tank can empty faster for Ellis fluid compared to its special situations, according to the analogy of Ellis, Power law, Newtonian, and Binghan plastic fluids for the relation of depth with respect to time.
VFAST-Research Platform
2022-11-14 18:26:28
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https://vfast.org/journals/index.php/VTM/article/view/1352
VFAST Transactions on Mathematics; Vol. 10 No. 2 (2022): July-December
eng
Copyright (c) 2023 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1386
2023-07-08T02:11:27Z
VTM:ART
nmb a2200000Iu 4500
"230305 2023 eng "
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The effect of oscillating streams on heat transfer in viscous magnetohydrodynamic MHD fluid flow
Bhutto, Afaque Ahmed
Quaid e Awam University os Science and Engineering Technology, campus Larkano
Ahmed, Iftikhar
Sukkur IBA University, Sukkur, Pakistan
Rajput, Saeed Ahmed
BS&RS QUEST, campus Larkano, Pakistan
Raza Shah, Syed Asad
BS&RS Department, MUET, Pakistan
This study focuses on developing and proving exact solutions for equations of motion involving a fluid with finite conductivity, variable viscosities, and heat transfer in the presence of a transverse magnetic field. By utilizing a transformation variable, the governing equation is transformed into a assortment of simple ordinary differential equations, enabling accurate solutions to be achieved for the problem. The solutions demonstrate that the distribution of vorticity is proportional to the stream function, which is disturbed by oscillating (sine or cosine) or even and exponential streams. This study compares the profiles of steady fluid flow with changing viscosity and heat transfer travelling on a plane. The comparison is used to identify differences in the profiles of providing insight into the changes that occur in interesting factors. These findings have significant implications for understanding fluid dynamics in complex systems and may have important applications in fields such as engineering and physics.
VFAST-Research Platform
2023-03-05 15:47:17
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https://vfast.org/journals/index.php/VTM/article/view/1386
VFAST Transactions on Mathematics; Vol. 11 No. 1 (2023): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1411
2023-07-08T02:11:27Z
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"230329 2023 eng "
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To Investigate Obstacle Configuration Effect on Vortex Driven Combustion Instability
Bhutto, Afaque Ahmed
Department of BSRS, MUET, Jamshoro, Pakistan
&
Department of BSRS QUEST, campus Larkana, Pakistan
Shah, Syed Feroz
Department of BSRS, MUET, Jamshoro, Pakistan
Khokhar, Rahim Bux
Department of BSRS, MUET, Jamshoro, Pakistan
Harijan, Khanji
Department of Mechanical
Engineering, MUET, Jamshoro, Pakistan
Hussain, Mukkarum
Institute of Space Technology, Pakistan
Combustion instability inside a chamber may lead to catastrophic failure. It is due to inappropriate combustion or flow physics. Flow-driven instability is mostly governed by surface, corner, or obstacle vortex shedding. Inhibitors
are placed inside a solid fuel combustion chamber to control the burning of the solid fuel grain. They burn slowly as compared to solid fuel and create protrusions inside the combustion chamber. These protrusions work as flow obstacles. An obstacle vortex is shed from the inhibitor and produces pressure oscillations. The effects of inhibitor position on pressure oscillation inside a solid fuel combustion chamber is investigated in the present study. Large eddies must be resolved to compute vortex-driven flow. Therefore, the Detached Eddy Simulation is applied to cylindrical combustion chambers having inhibitor and nozzle. Five different configurations are simulated. All parameters of different configurations are similar except inhibitor position. The inhibitor is moved upstream and downstream from the reference position to examine its effect on pressure oscillations. Pressure time histories at eight distinct places of the combustion chamber are recorded. Fast Fourier Transform (FFT) has been utilized to get pressure oscillation frequency and amplitude. It is interesting to reveal that the maximum amplitude of pressure oscillation occurs when the inhibitor to stagnation point distance
is close to the combustion chamber diameter. It is up to 70% higher as compare to reference inhibitor position results. Computed results are also compared with available experimental data for validation purpose.
VFAST-Research Platform
2023-03-05 15:47:17
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https://vfast.org/journals/index.php/VTM/article/view/1411
VFAST Transactions on Mathematics; Vol. 11 No. 1 (2023): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1414
2023-07-08T02:11:27Z
VTM:ART
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"230331 2023 eng "
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Simulation of 13 points Laplacian operator in cylindrical mesh system by using explicit finite difference technique
Mallah, Rabnawaz
Department of Mathematics, Shah Abdul Latif University, Khairpur Mirs, District-66020
Soomro, Inayatullah
Department of Mathematics, Shah Abdul Latif University, Khairpur Mirs, District-66020, Pakistan
Ahmed, Altaf
Department of Mathematics, Shah Abdul Latif University, Khairpur Mirs, District-66020, Pakistan
Muhammad, Dost
Department of Mathematics, Shah Abdul Latif University, Khairpur Mirs, District-66020, Pakistan
Latif, Sarang
Department of Mathematics, Shah Abdul Latif University, Khairpur Mirs, District-66020, Pakistan
Ali, Irshad
Department of Mathematics, Shah Abdul Latif University, Khairpur Mirs, District-66020, Pakistan
In nearest period of time a considerable and remarkable work have been done on the graphic design artificial intelligence, optimization, solving numerical approximation of ordinary as well as Partial differential equation by some differential operator, Discrete Laplacian operator is one of the most modern technique used for discretizatise the Ordinary differential equations (ODES) and Partial Differential equation (PDES). It is most simple technique, the researcher have taken great interest, as they may be able to find the novelty in their results specially in simulation of di-block co-polymer, solving the partial differential equation and also in finding light equation, wave equation in one as well as two dimension and etc. Discrete laplacian operator plays an essential role in the field of science and technology, shape interpolation, smoothing of the surface area, editing the meshes are the best usages of discrete laplacian operator In this study, a finite difference scheme is applied to develop the Laplacian operator using a cylindrical mesh system containing thirteen-point stencils. Laplacian operator has a significant role in the study of numerous mathematical and scientific phenomena. This employed in numerous significant computational and mathematical models, such as the Cell Dynamic Simulation system for the study of cutting-edge materials and image processing. The laplacian operator is necessary for being an isotropic discrete differential operator in a variety of models. When computing discrete isotropic results on curved surfaces, the curvilinear coordinate system may be a good option.
VFAST-Research Platform
2023-03-05 15:47:17
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https://vfast.org/journals/index.php/VTM/article/view/1414
VFAST Transactions on Mathematics; Vol. 11 No. 1 (2023): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1419
2023-07-08T02:11:27Z
VTM:ART
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"230419 2023 eng "
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Development of an Explicit Iterative Numerical Scheme Over the Modified Euler’s Method
Meghwar, Tuljaram
Department of Basic Sciences & Related Studies, Mehran Univeristy of Engineering and
technology, Jamshoro, Sindh, Pakistan
Kumar, Prem
Department of Basic Sciences & Related Studies, Mehran Univeristy of Engineering and
technology, Jamshoro, Sindh, Pakistan
&
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada
Khokhar, Rahim Bux
Department of Basic Sciences & Related Studies, Mehran Univeristy of Engineering and
technology, Jamshoro, Sindh, Pakistan
Shaikh, Asif Ali
Department of Basic Sciences & Related Studies, Mehran Univeristy of Engineering and
technology, Jamshoro, Sindh, Pakistan
Hincal, Evren
Department of Mathematics, Near East
University, 99138 Mersin, Turkey
Anwar Solangi, Muhammad
Department of Basic Sciences & Related Studies, Mehran Univeristy of Engineering and
technology, Jamshoro, Sindh, Pakistan
The main theme of this research paper is to propose an explicit iterative numerical scheme over the modified Euler’s method (MEM) for solving initial value problems in ordinary differential equations. This iterative scheme has been proposed by changing the inner slope of the MEM by the mean of main slope of MEM and slope of explicit forward Euler’s method. The proposed iterative scheme has been tested for its performance by analyzing different numerical factors related to numerical algorithm and found it consistent, more accurate with the order of convergence 2 and it also shows greater stability region as compared to existing methods which are compared with proposed method.
VFAST-Research Platform
2023-03-05 15:47:17
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https://vfast.org/journals/index.php/VTM/article/view/1419
VFAST Transactions on Mathematics; Vol. 11 No. 1 (2023): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1420
2023-07-08T02:11:27Z
VTM:ART
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"230413 2023 eng "
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Cubic Iterated Methods of Numerical Differential Method for Solving Non-Linear Physical Functions
Khalid Qureshi, Umair
Department of Business Administration, Shaheed Benazir Bhutto University, Sanghar
Campus, Sindh, Pakistan
Aarain, Muzaffar B.
Department of Mathematics and Statistics, Quaid-e-Awam, University of Engineering, Science and Technology, Nawabshah, Pakistan
Khokhar, Rahim Bux
Department of Basic Science and Related Studies, Mehran University Engineering and Technology, Jamshoro, Sindh, Pakistan
Bashir, Manzar
Department of Information Technology, Shaheed Benazir Bhutto University, Sanghar Campus, Sindh, Pakistan
In this research two iterated methods have been developed for solving non-linear equations, which arises in applied sciences and engineering. The proposed iterated methods are converged cubically, and it is derived from modified euler method and improved euler method with steffensen method. The cubic iterated methods of numerical differential method are work on physical application functions and compared with variant newton iterated method. The numerical outcome of proposed cubic iterated methods of numerical differential method is examined with C++/MATLAB. From the numerical results, it can be observed that the cubic iterated methods of numerical differential method are good for accuracy point of view, iteration perception and function evaluation as the assessment of variant newton iterated method for solving non-linear physical functions.
VFAST-Research Platform
2023-03-05 15:47:17
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https://vfast.org/journals/index.php/VTM/article/view/1420
VFAST Transactions on Mathematics; Vol. 11 No. 1 (2023): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1421
2024-01-14T15:02:33Z
VTM:ART
oai:ojs.pkp.sfu.ca:article/1442
2023-10-28T16:39:02Z
VTM:ART
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"230429 2023 eng "
2309-0022
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The effect of uniform and exponential streams on Magnetohydrodynamic flows of viscous fluids.
Bhutto, Iftikhar Ahmed
Sukkur IBA University
Bhutto, Afaque Ahmed
Quaid e Awam University of Science and Engineering Technology, campus Larkano
Khokhar, Rahim Bux
Mehran University of Engineering and Technology, Jamshoro, Sindh
Soomro, Muhammad Aslam
Shaikh Ayaz University, Shikarpur
Shaikh, Fozia
Mehran University of Engineering and Technology, Jamshoro, Sindh
In this research, we explore the equations of motion governing the behaviour of a finitely conducting incompressible fluid with variable viscosity, heat transfer, and the presence of a transverse magnetic field. By solving these equations, we obtain exact solutions that describe flows in which the vorticity distribution is varying indirect proportion to the stream function perturbed by both uniform and exponent streams. To obtain these exact solutions, we introduce a transformation variable that allows us ttransforming a non-linear system into a linear form the governing equations. From there, we are able to derive several exact solutions that provide insight into the behaviour of the fluid in these conditions.
VFAST-Research Platform
2023-03-05 15:47:17
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https://vfast.org/journals/index.php/VTM/article/view/1442
VFAST Transactions on Mathematics; Vol. 11 No. 1 (2023): January-June
eng
Copyright (c) 2023 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1456
2023-07-08T02:11:27Z
VTM:ART
nmb a2200000Iu 4500
"230509 2023 eng "
2309-0022
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MHD flow and heat transfer of micropolar nanofluid on a linearly stretching/shrinking porous surface
Kumar, Sanjay
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Pakistan
Shaikh, Asif Ali
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Pakistan
Lanjwani, Hazoor Bux
Institute of Mathematics and Computer Science, University of Sindh, 76080, Jamshoro, Pakistan
Shah, Sayed Feroz
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Pakistan
In this paper, there is considered incompressible steady two-dimensional laminar MHD boundary layer flow, heat and mass transfer characteristics of micropolar nanofluid across a linearly stretching/shrinking porous surface. The effects of the magnetic, thermal slip, mass slip and heat source sink parameters are also considered. By applyingn appropriate similarity variables, the system of governing partial differential equations associated to micropolar nanofluid flow is transformed into a system of non - linear ordinary differential equations. The resulting equations are numerically solved in the Maple software by using shooting technique. The impact of the different applied parameters on skin friction, couple stress, Nusselt and the Sherwood numbers along the related profiles are determined for both stretching and shrinking cases of the surfaces. It was observed that with an increase in suction and magnetic parameters, the fluid velocity decreased. An increment in the thermal slip, the fluid temperature decreased and nanoparticles concentration decreases as the mass slip parameter is enhanced. An increase in concentration decreases but temperature increases. While, concentration and temperature both increase due to increase in thermophoresis parameter, and concentration also increases by increase in rate of chemical reaction. Thus, suction at the boundary and magnetic parameter acted as flow controlling parameter. It is believed that this type of investigation is very much helpful for the manufacturing of complex fluids and also for cleaning oil from surfaces.
VFAST-Research Platform
2023-03-05 15:47:17
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https://vfast.org/journals/index.php/VTM/article/view/1456
VFAST Transactions on Mathematics; Vol. 11 No. 1 (2023): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1465
2024-03-05T17:44:19Z
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"230907 2023 eng "
2309-0022
2411-6343
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An Algorithm Coded with R to Generate GN2 -designs in Circular Blocks
Shabbir, Javid
Department of Statistics, University of Wah, Wah Cantt.
Hassan, Jamshaid UL
Department of Statistics, The Islamia University of Bahawalpur, Pakistan
Hassan, Mahmood UL
Department of Statistics, Stockholm University, Stockholm, Sweden
Noreen, Khadija
Department of Statistics, The Islamia University of Bahawalpur
Hussain, Sajid
Department of Statistics, The Islamia University of Bahawalpur
Ahmed, Rashid
Department of Statistics, The Islamia University of Bahawalpur
Minimal neighbor balanced designs are economical, therefore, these are preferred by the experimenters to minimize the bias due to neighbor effects. Minimal circular balanced neighbor designs cannot be constructed for almost every case of v even, where v is number of the treatments to be compared. For v even, the circular GN2-designs in which each treatment appears exactly once as neighbors with all other treatments except the one with which it appears twice, are considered the better alternate to the minimal balanced neighbor designs. In this article, an algorithm is developed to generate the circular GN2-designs for v even which can be converted directly into minimal circular balanced and strongly balanced neighbor designs. This algorithm is also coded with R.
VFAST-Research Platform
2023-09-14 17:34:42
application/pdf
application/vnd.openxmlformats-officedocument.wordprocessingml.document
https://vfast.org/journals/index.php/VTM/article/view/1465
VFAST Transactions on Mathematics; Vol. 11 No. 2 (2023): July-December
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1469
2023-07-08T02:11:27Z
VTM:ART
nmb a2200000Iu 4500
"230607 2023 eng "
2309-0022
2411-6343
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Numerical Simulation of 2D Shallow water equation with constant external body force by using Finite difference method
Rajput, Saeed Ahmed
Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
&
Department of BSRS, QUEST campus Larkana, Pakistan
Kamboh, Shakeel Ahmed
Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
Amur, Khuda Bux
Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
Memon, Saifullah
State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China
Ghoto, Abbas Ali
Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
In this paper the numerical modeling and simulation of 2D shallow water equations is discussed with the non-flat topography. The sets of these equations is solved by means of the Crank-Nicolson finite difference method with constant external body force and Darcy Weisbach equation is used for friction slope parameter. We have obtained the important results that, as soon as we start the time then Height evaluation function has the maximum amplitude wave length which is decreasing when the time increases. The numerical solution algorithm works well and enables to predict the water elevation and velocity at any instance and any location in the domain.
VFAST-Research Platform
2023-03-05 15:47:17
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https://vfast.org/journals/index.php/VTM/article/view/1469
VFAST Transactions on Mathematics; Vol. 11 No. 1 (2023): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1492
2023-07-08T02:11:27Z
VTM:ART
nmb a2200000Iu 4500
"230606 2023 eng "
2309-0022
2411-6343
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Average Error Based Adaptive Regularization Control For The Gradient Constancy Variational Stereo Model
Amur, Izhar Ali
Department of General Faculty, Shaheed Benazir Bhutto University, Shaheed Benazir
Abad, Nawabshah, Pakistan
Amur, Khuda Bux
Department Mathematics and Statistics, QUEST
Nawabshah, SBA, Pakistan
Arain, Muzaffar Bashir
Department Mathematics and Statistics, QUEST
Nawabshah, SBA, Pakistan
Amur, Mohsin Ali
Department of General Faculty, Shaheed Benazir Bhutto University, Shaheed Benazir Abad, Nawabshah, Pakistan
Memon, K.N
Department Mathematics and Statistics, QUEST
Nawabshah, SBA, Pakistan
The study of the stereo vision problems is most crucial and challenging task in image processing and computer vision. The Stereo Vision problems address the investigation of the correspondence between the two images of same scene (stereo pairs) captured from two different views. Generally, these problems are inverse and ill posed. To deal with such problems the energy-based regularization techniques are considered as an efficient and most successful approaches. The adaptive finite element method is used here as discretization method for the partial differential equation obtained from the optimization of the designed energy functional. Such type of the regularization generally depends on the smoothness parameters, and their suitable choice. The choice of the smoothing parameter in an adaptive way and specifically their choice as a scalar function over the whole computational domain is an interesting idea. In this work, a variational model based on the gradient constancy assumption is proposed, moreover a post optimization method (mesh refinement strategy) is designed which is based on a priori estimate called average absolute disparity error estimate. The post optimization is based on an adaptive intelligent algorithm which is efficient in identifying the less regular regions of the computed disparity image and reduces the value of the parameter to refine the grid. Consequently, the smoothness appears in the solution which is the main goal.
VFAST-Research Platform
2023-03-05 15:47:17
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https://vfast.org/journals/index.php/VTM/article/view/1492
VFAST Transactions on Mathematics; Vol. 11 No. 1 (2023): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1498
2023-07-08T02:11:27Z
VTM:ART
nmb a2200000Iu 4500
"230609 2023 eng "
2309-0022
2411-6343
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Effects of Heat Transfer on Flow of MHD Maxwell Nanofluid on Stretching and Shrinking Surfaces.
Dayo, Ibrahim
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Sindh, Pakistan
Shah, Sayed Feroz
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Sindh, Pakistan
Shaikh, Fozia
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Sindh, Pakistan
Kumar, Sanjay
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Sindh, Pakistan
In present article, there is studied heat, and the mass transfer characteristics of boundary layer flow of the Maxwell-nanofluid across stretching/shrinking surface along chemical reactions, transverse magnetic field and thermal radiation. Applying similarity transformation, the system of governing nonlinear PDEs are reduced into form of ODEs. The achieved equations are solved with help of bvp4c in Matlab computer software. The impacts of specified parameters include, suction parameter, Deborah number, magnetic parameter, thermophoresis parameter, chemical reaction parameter, Schmidt number, Brownian motion parameter, Prandlt number and thermal slip parameter are examined on velocity, temperature and nanoparticles concentration fields (profiles). Moreover, skin friction, Nusselt number and Sherwood number are achieved at numerous values of applied parameters which are demonstrated through graphs. Some of the key findings show that an increase in suction increases skin friction, Nusselt number and Shewood number along the variation of the stretching/shrinking parameter An increase in thermophoresis, magnetic and Brownian motion parameters increase the temperature fields of Maxwell nanofluid, while Deborah number, Prandtl number, suction parameter and thermal slip parameter decrease it.
VFAST-Research Platform
2023-03-05 15:47:17
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VFAST Transactions on Mathematics; Vol. 11 No. 1 (2023): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1512
2023-07-08T02:11:27Z
VTM:ART
nmb a2200000Iu 4500
"230620 2023 eng "
2309-0022
2411-6343
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Dynamic complexity of a discrete predator-prey model with prey refuge and herd behavior
Shahzad, Muhammad Asim
Air University Islamabad, Multan Campus, Multan
Ahmed, Rizwan
Air University Islamabad, Multan Campus, Multan
This paper examines a discrete predator-prey model's complex dynamics. Using bifurcation and center manifold theory, we study period-doubling and Neimark-Sacker bifurcations at positive fixed points and their direction. Numerical simulations confirm the theoretical conclusions that the model's dynamics rely on Euler method step size. The model's behavior is also affected by the prey population's conservation rate. The model suggests that excessive conservation may reduce predator populations, causing food shortages. Thus, predator-prey dynamics management must account for prey conservation rate
VFAST-Research Platform
2023-03-05 15:47:17
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VFAST Transactions on Mathematics; Vol. 11 No. 1 (2023): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1518
2023-07-08T02:11:27Z
VTM:ART
nmb a2200000Iu 4500
"230630 2023 eng "
2309-0022
2411-6343
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Numerical analysis of flow rates, porous media, and Reynolds numbers affecting the combining and separating of Newtonian fluid flows
Khokhar, Rahim Bux
BSRS Department MUET, Jamshoro, Pakistan
Bhutto, Afaque Ahmed
Quaid e Awam University os Science and Engineering Technology, campus Larkano
Siddiqui, Noor Fatima
Department of Mathematics, University of Karachi, Pakistan
Shaikh, Fozia
BSRS Department MUET, Jamshoro, Pakistan
Bhutto, Iftikhar Ahmed
Sukkur IBA University, Sukkur, Pakistan
This study investigates the behavior of Newtonian fluids in pipes filled with and without porous media under combing and separating flow configurations. Numerical simulations are conducted to analyze the effects of changing flow rates, inertia, and porous media on flow patterns, vortex development, and pressure difference. The aim of this study is to examine the impact of inertia on flow behavior by analyzing the streamline patterns, vortex growth, and intensity at different Reynolds numbers, ranging from Re=1 to Re=5000.
VFAST-Research Platform
2023-03-05 15:47:17
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https://vfast.org/journals/index.php/VTM/article/view/1518
VFAST Transactions on Mathematics; Vol. 11 No. 1 (2023): January-June
eng
Copyright (c)
oai:ojs.pkp.sfu.ca:article/1586
2024-03-05T17:44:19Z
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nmb a2200000Iu 4500
"231021 2023 eng "
2309-0022
2411-6343
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Simulation Study on the Effect of Cover Tilt Angle of SolarStill on its Productivity
kumar, Rajesh
Department of Mechanical Engineering, Mehran University of Engineering and Technology, Jamshoro-76062 https://orcid.org/0009-0001-3478-8778
Kumar, Laveet
Mehran University of Engineering and Technology, Jamshoro https://orcid.org/0000-0001-6932-1695
Mirjat, Nayyar Hussain
Department of Electrical Engineering, Mehran University of Engineering and Technology, Jamshoro-76062 https://orcid.org/0000-0002-5911-7743
Harijan, Khanji
Department of Mechanical Engineering, Mehran University of Engineering and Technology, Jamshoro-76062 https://orcid.org/0000-0002-8624-6145
Survival hinges on access to water, serving as both the foundation for human existence and its continuous sustenance. Developing nations grapple with the significant challenge of ensuring clean drinking water availability. One solution is the utilization of solar stills, which harness solar energy for desalination to produce potable water, all without relying on high-energy sources. Solar stills remain a viable choice for providing safe drinking water to remote regions lacking reliable energy access. In this research, a comprehensive multi-phase 3D Computational Fluid Dynamics (CFD) model was employed to investigate single-slope solar still with glass cover angles of 200 and 250
This model accurately depicts temperature variations within the solar still during different phases of operation.
The simulation results presented herein reveal that the efficiency is notably superior in solar stills equipped with copper plates, achieving an output of 1.24 when inclined at 200 compared to other inclinations. It becomes evident that the tilt angle of the cover has a substantial impact on the output. Additionally, the most suitable water depth for a 200 angle is found to be 18mm. This cost-effective innovation is designed to provide rural populations with an efficient method to transform brackish water into potable drinking water.
VFAST-Research Platform
2023-09-14 17:34:42
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https://vfast.org/journals/index.php/VTM/article/view/1586
VFAST Transactions on Mathematics; Vol. 11 No. 2 (2023): July-December
eng
Copyright (c) 2023 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1592
2024-03-05T17:44:19Z
VTM:ART
nmb a2200000Iu 4500
"231102 2023 eng "
2309-0022
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Adaptive Numerical Regularization for Variational Denoising Model with Complementary Approach
Amur, Mohsin Ali
General Faculty Shaheed Benazir Bhutto University Shaheed Banazir Abad, Pakistan
Amur , Khuda bux
Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
Amur, Azam Ali
Department of BSRS, Mehran University of Engineering and Technology Jamshoro, Pakistan https://orcid.org/0009-0005-1746-6290
Izhar Ali Amur
Department of General Faculity, Shaheed Benazir Bhutto University, Shaheed Benazir Abad, Nawabshah, Pakistan https://orcid.org/0009-0000-3985-7552
K.N.Memon
Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan https://orcid.org/0000-0003-2163-2552
Denoising is a process to suppress the noise and preserve the important information in the image. In this paper, a complementary approach is proposed for variational denoising problem. A FEM (Finite Element Method) based post optimization method (mesh refinement strategy) is designed which is based on a priori estimate called mean square error. The post optimization algorithm is adaptive and intelligent in nature which allows the adaptive choice of the regularization parameters. The manual choice of the smoothing parameters is taken uniformly on spatial domain and testing of the automatic selection of these parameters in adaptive way. This is an interesting idea of computation. The intelligent and automatic choice of the values for the smoothing function is smaller in the less regular regions of the image, to refine the grid and keep constant in the other complementary regions is one of the main interests, which produces the better and enhanced version of the noisy image. The obtained results have been compared to some other methods.
VFAST-Research Platform
2023-09-14 17:34:42
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https://vfast.org/journals/index.php/VTM/article/view/1592
VFAST Transactions on Mathematics; Vol. 11 No. 2 (2023): July-December
eng
Copyright (c) 2023 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1601
2024-03-05T17:44:19Z
VTM:ART
nmb a2200000Iu 4500
"231231 2023 eng "
2309-0022
2411-6343
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Centroidal Mean Derivative-Based Open Newton-Cotes Quadrature Rules
Mahesar, Sara
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro
Shaikh, Muhammad Mujtaba
Mehran University of Engineering and Technology, Jamshoro.
Chandio, Muhammad Saleem
University of Sindh, Jamshoro
Shaikh, Abdul Wasim
University of Sindh, Jamshoro
In this work, a new derivative-based family of open Newton-Cotes quadrature rules based on centroidal mean (CMDONC) is proposed for the estimation of definite integrals. The error terms of the modified methods are derived through the concept of precision. The local and global order of accuracy and precision for each method is also computed. The results show that the proposed methods achieve two orders of accuracy enhancement over the conventional Newton-Cotes quadrature rules (ONC). Lastly, two numerical tests are also observed which demonstrate the superiority of CMDONC rules over the classical ONC methods.
VFAST-Research Platform
2023-09-14 17:34:42
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https://vfast.org/journals/index.php/VTM/article/view/1601
VFAST Transactions on Mathematics; Vol. 11 No. 2 (2023): July-December
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1617
2024-03-05T17:44:19Z
VTM:ART
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"231020 2023 eng "
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Numerical Analysis of Inertia Effects on Pressure and Flow Patterns in Unidirectional and Reversed Newtonian Fluid Flows within a Channel
Rahim Bux Khokhar
Department of Basic science and related studies, Mehran University of Engineering and Technology,Jamshoro, Pakistan https://orcid.org/0009-0009-9561-0437
Bhutto, Afaque Ahmed
Quaid e Awam University os Science and Engineering Technology, campus Larkano
Bhutto, Iftikhar Ahmed
Sukkur IBA University, Sukkur, Pakistan https://orcid.org/0000-0002-1966-9447
Soomro, Muhammad Aslam
Department Mathematics, Shaikh Ayaz University, Shikarpur, Pakistan https://orcid.org/0009-0008-1898-5262
Kashif, Ubaidullah Alias Kashif
Department Computer science, Shaikh Ayaz University, Shikarpur, Pakistan https://orcid.org/0000-0001-5986-8144
Bhutto, Ikhlaque Ahmed
Descon Engineering and Technology Company Karachi, Pakistan https://orcid.org/0000-0002-4455-8482
Fluid flows in channel systems are prevalent in many industrial and engineering applications. Flow rates, Reynolds numbers, and inertia significantly impact the dynamics of fluid flows in channel systems. However, analyzing these factors' effects on fluid flows is challenging. This study investigates the impact of flow rates, Reynolds numbers, and inertia on fluid flows within a channel system filled with non-porous media using Taylor-Galerkin/Pressure-Correction Scheme. Various flow conditions, including equal and unequal flow rates, reversed flow, and unidirectional flow, are analyzed to determine the effects on pressure differences and streamline patterns by numerical simulation. The results demonstrate the crucial role of inertia on vortex development, pressure differences, and the formation of eddies in different regions of the channel. The study reveals that pressure differences increase linearly with increasing Reynolds number in unidirectional flow scenarios and that unequal flow rates can significantly alter flow behavior. The study's findings provide insight into the complex interplay between flow rates, inertia, and pressure variations in fluid flows within a channel system.
VFAST-Research Platform
2023-09-14 17:34:42
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https://vfast.org/journals/index.php/VTM/article/view/1617
VFAST Transactions on Mathematics; Vol. 11 No. 2 (2023): July-December
eng
Copyright (c) 2023 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1619
2024-03-06T16:44:24Z
VTM:ART
nmb a2200000Iu 4500
"240306 2024 eng "
2309-0022
2411-6343
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A Refinement of Ratio Estimation in Ranked Set Sampling and Stratified Ranked Set Sampling Approaches
khan, lakhkar
Government Postgraduate College Mardan https://orcid.org/0009-0008-7160-2515
javid shabbir
https://orcid.org/0000-0002-0035-7072
Qazi Ubaid
https://orcid.org/0009-0003-8442-1741
Taj Farin Khan
Department of Statistics Abdul Wali Khan University Mardan, KP, Pakistan https://orcid.org/0009-0009-4097-951X
Estimation of population mean is a persistent subject issue in sampling surveys and many discrete efforts have been paid by various researchers to enhance the precision of the estimates by utilizing the correlated auxiliary information. In connection with this an improved version of ratio estimator are presented in this paper under the ranked set sampling scheme and stratified ranked set sampling scheme. Comparison amongst estimators is made in terms of Mean Square Errors ( ) and Percentage Relative Efficiencies ( ). The expression for of the proposed estimator is pinned-down to first order of approximations. It turns out from both simulation studies as well as real data set that the proposed estimator dominates its existing counterpart estimators.
VFAST-Research Platform
2024-03-06 00:21:03
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https://vfast.org/journals/index.php/VTM/article/view/1619
VFAST Transactions on Mathematics; Vol. 12 No. 1 (2024): January-June
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1620
2024-03-05T17:44:19Z
VTM:ART
nmb a2200000Iu 4500
"231125 2023 eng "
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A Modified Hybrid Method For Solving Non-Linear Equations With Computational Efficiency
Shehzad Ali Soomro
Department of Basic Sciences and Related Studies, Mehran University of Engineering & Technology, Jamshoro, Sindh, Pakistan https://orcid.org/0009-0007-1241-8083
Asif Ali Shaikh
Department of Basic Sciences and Related Studies, Mehran University of Engineering & Technology, Jamshoro, Sindh, Pakistan https://orcid.org/0000-0002-7225-2309
Qureshi, Sania
3 Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
Bahadur Ali
2People’s University of Medical and Health Sciences for Women Shaheed Benazirabad, Sindh, Pakistan https://orcid.org/0000-0001-9806-8211
This paper proposes a modified hybrid method for solving non-linear equations that improves computational efficiency while maintaining accuracy. The proposed method combines the advantages of the traditional Halley’s and mean-based methods, resulting in a more efficient algorithm. The modified hybrid method starts with Halley’s method and then switches to the mean-based method for rapid convergence. To further improve the efficiency of the algorithm, the proposed method incorporates a dynamic selection criterion to choose the appropriate method at each iteration. Numerical experiments are performed to evaluate the performance of the proposed method in comparison to other existing methods. The results show that the modified hybrid method is computationally efficient and can achieve high accuracy in a shorter time than other commonly used methods having similar features. The proposed method is applicable to a wide range of non-linear equations and can be used in various fields of science and engineering where non-linear equations arise. The modified hybrid method provides an effective tool for solving non-linear equations, offering significant improvements in computational efficiency over existing methods.
VFAST-Research Platform
2023-09-14 17:34:42
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https://vfast.org/journals/index.php/VTM/article/view/1620
VFAST Transactions on Mathematics; Vol. 11 No. 2 (2023): July-December
eng
Copyright (c) 2023 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1622
2024-03-05T17:44:19Z
VTM:ART
nmb a2200000Iu 4500
"231101 2023 eng "
2309-0022
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Origami-Inspired Engineering: Math behind DONs
Kamran, Abdul Rafae
Aitchison College Lahore, Pakistan https://orcid.org/0009-0004-7963-6681
Origami, an ancient art of paperfolding, has evolved beyond its traditional use for cultural and entertainment purposes and has found its way into artistic, scientific, and engineering realms. This research paper explores the mathematical foundations of origami, and later focuses on a specific application in biomedical engineering. This study is intended to illustrate several aspects of origami that are relevant to engineering structures, namely: geometry, pattern generation, flat-foldability, and the ability of origami tessellations to fit specific target shapes. This review further examines DNA Origami Nano-structures (DONs) which provide numerous benefits, including lower biotoxicity, increased stability, and superior adaptability, making them an excellent choice for Drug Delivery Systems.
VFAST-Research Platform
2023-09-14 17:34:42
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https://vfast.org/journals/index.php/VTM/article/view/1622
VFAST Transactions on Mathematics; Vol. 11 No. 2 (2023): July-December
eng
Copyright (c) 2023 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1624
2024-03-06T16:40:16Z
VTM:ART
nmb a2200000Iu 4500
"240301 2024 eng "
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Solution of nonlinear models in engineering using a new sixteenth order scheme and their basin of attraction
Jamali, Sanaullah
Institute of Mathematics and Computer Science, University of Sindh, Allama I.I. Kazi Campus, Jamshoro-76080, Sindh, Pakistan https://scholar.google.com/citations?user=NYeAxJkAAAAJ&hl=en https://orcid.org/0000-0002-1162-5909
Kalhoro, Zubair Ahmed
Institute of Mathematics and Computer Science, University of Sindh, Allama I.I. Kazi Campus, Jamshoro-76080, Sindh, Pakistan https://scholar.google.com.pk/citations?user=2Bc7wyAAAAAJ&hl=en https://orcid.org/0000-0002-8609-6298
Shaikh, Abdul Wasim
Institute of Mathematics and Computer Science, University of Sindh, Allama I.I. Kazi Campus, Jamshoro-76080, Sindh, Pakistan https://www.researchgate.net/profile/Wasim-Shaikh-3
Chandio, Muhammad Saleem
Institute of Mathematics and Computer Science, University of Sindh, Allama I.I. Kazi Campus, Jamshoro-76080, Sindh, Pakistan https://scholar.google.com/citations?user=RN8aTSsAAAAJ&hl=en
Guan, Jinrui
Department of Mathematics and Statistics, Taiyuan Normal University, China https://orcid.org/0000-0003-4314-3581
The utilization of computers in various engineering and mathematical fields has become increasingly important in recent times. In computational and applied mathematics, computer programs can be used to efficiently process complex data in mere seconds. By utilizing different computer tools and programming languages, computers can manipulate various iterative algorithms to solve nonlinear problems. The convergence rate and computational costs per-iteration are essential factors that determine the effectiveness of an iterative algorithm. This article introduces a new and highly efficient iterative approach of sixteenth order. The authors propose a four-step iterative optimal derivative-free method for solving non-linear equations that arise in engineering application problems. The proposed method achieves an accuracy of order sixteen with only five functional evaluations, and the efficiency index is 1.741. To demonstrate the performance of the method, the authors present several numerical examples, application problems, and a study of dynamics, comparing the method with other available methods of the same order in the literature. Numerical results and dynamics are obtained using computer tools.
VFAST-Research Platform
2024-03-06 00:21:03
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https://vfast.org/journals/index.php/VTM/article/view/1624
VFAST Transactions on Mathematics; Vol. 12 No. 1 (2024): January-June
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1640
2024-03-05T17:44:19Z
VTM:ART
nmb a2200000Iu 4500
"231118 2023 eng "
2309-0022
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Thermal Modeling and Performance Investigation of Proton Exchange Membrane (PEM) Fuel Cell
Murad, Ali
Department of Mechanical Engineering, Mehran University of Engineering and Technology Jamshoro, Pakistan https://orcid.org/0009-0008-1259-6792
Kumar, Laveet
Department of Mechanical Engineering, Mehran University of Engineering and Technology Jamshoro, Pakistan https://orcid.org/0000-0001-6932-1695
Harijan, Khanji
Department of Mechanical Engineering, Mehran University of Engineering and Technology Jamshoro, Pakistan https://orcid.org/0000-0002-8624-6145
Parhyar, Hallar
EEERG, Mehran University of Engineering and Technology, Jamshoro, Sindh, Pakistan https://orcid.org/0009-0006-4319-0141
Abstract This research paper presents analysis of heat generation problem in Proton Exchange Membrane (PEM) fuel cell using COMSOL Multiphysics software. PEM fuel cells are widely recognized for their high electrical power output and environmental sustainability. However, in a PEM fuel cell around 50 to 60 % of energy generated from chemical reactions is dissipated as heat energy. To address this issue PEM fuel cell stack model is designed and thermal modeling is carried out to evaluate its performance. Based on thermal modeling of surface temperature distribution of cell it is found that the cathode side of PEM fuel cell is warmer and generates more heat as compared to other parts due to the exothermic reactions,slow reaction rate,joule heating effect and material properties.
Moreover, it is also found that there is uniform temperature distribution across the cell due to rapid heat conduction from cathode side to the surface of the cell.The results of this study show that due to more heat generation on cathode side temperature will tend to increase.This increasing temperature enhances
the average cell current density but as the average cell current density increases it reduces the average cell voltage thus declining the efficiency of PEM fuel cell. Hence ,there should be an optimal temperature range between 60 to 80°C for the better performance of a PEM fuel cell. Findings of this study can serve as a valuable resource for understanding heat generation process in PEM fuel cell for the development of efficient and reliable fuel cell technology in future.
VFAST-Research Platform
2023-09-14 17:34:42
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https://vfast.org/journals/index.php/VTM/article/view/1640
VFAST Transactions on Mathematics; Vol. 11 No. 2 (2023): July-December
eng
Copyright (c) 2023 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1675
2024-03-05T17:44:19Z
VTM:ART
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"231231 2023 eng "
2309-0022
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Morphological Investigation of Lamellae Patterns in Diblock Copolymers under Change of Thickness and Confinement in Polar Geometry
Muhammad Javed Iqbal
Shah Abdul Latif University Khairpur, Sindh
Soomro, Inayatullah
Department of Mathematics, Shah Abdul Latif University, Khairpur, Pakistan https://orcid.org/0000-0001-6423-1009
Maryam Bibi
Department of Mathematics, NCB & E Lahore, Sub Campus Bahawalpur, Pakistan
Mallah, Rab Nawaz
Department of Mathematics, Shah Abdul Latif University, Khairpur, Pakistan
Mathematicians collaborate computationally with practical scientists to predict the novel morphologies soft materials, having potential applications in nanotechnology. This work presents the novel lamellae morphology that the confined diblock copolymer system displayed inside the polar geometry in order to achieve this, cell dynamics simulations (CDS) model is employed on a polar mesh to study the special impacts of confinement on the self-assembly behavior of diblock copolymer systems. Under the numerical formulation of the isotropic Laplacian with polar geometry employed in the CDS model, the set of 9-point stencil is considered to discretize the Laplacian operator on polar mesh system. FTCS finite difference mechanism is taken into consideration for discretization of Laplacian operator due to its computational efficiency and accuracy. Cell dynamics simulation is efficient simulation model for large-scale simulation as compared to the other models available in literature. In the simulation, evolutionary lamella morphology is presented with and without confinement for various sizes of the circular annular pores. A comparative review of lamella morphologies achieved by simulation in comparison of experimental study is presented, coupled with a thorough investigation of symmetric and asymmetric morphologies in captivity.
VFAST-Research Platform
2023-09-14 17:34:42
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https://vfast.org/journals/index.php/VTM/article/view/1675
VFAST Transactions on Mathematics; Vol. 11 No. 2 (2023): July-December
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1686
2024-03-07T16:36:58Z
VTM:ART
nmb a2200000Iu 4500
"240303 2024 eng "
2309-0022
2411-6343
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Stability and bifurcation analysis of a discrete Leslie predator-prey model with fear effect
Abbas, Naqi
Department of Mathematics, Air University Islamabad Multan Campus, Multan, Pakistan https://orcid.org/0009-0008-4180-7392
Ahmed, Rizwan
Department of Mathematics, Air University Islamabad Multan Campus, Multan, Pakistan https://orcid.org/0000-0002-4900-0488
This study examines a predator-prey model that includes the impact of fear and a square-root functional response
to represent herd behavior in the prey population. Our investigation aims to investigate the existence and stability
of fixed points in this model. Through conducting an extensive analysis, we have uncovered valuable observations on
the model's behavior, namely recognizing the occurrence of period-doubling and Neimark-Sacker bifurcations.
These findings provide an understanding of the intricate dynamics that govern predator-prey interactions in the
presence of fear and herd behavior. We provide numerical examples to support our conclusions.
VFAST-Research Platform
2024-03-06 00:21:03
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https://vfast.org/journals/index.php/VTM/article/view/1686
VFAST Transactions on Mathematics; Vol. 12 No. 1 (2024): January-June
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1687
2024-03-05T17:44:19Z
VTM:ART
nmb a2200000Iu 4500
"231231 2023 eng "
2309-0022
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Efficient Neighbor Designs Weakly Balanced in Circular Blocks of Three Different Sizes
Sajid Hussain
The Islamia University of Bahawalpur, Bahawalpur
Jamshaid ul Hassan
Department of Statistics, The Islamia University of Bahawalpur, Pakistan
Abid Khan
Department of Statistics, The Islamia University of Bahawalpur, Pakistan
Hurria Ali
Department of Statistics, The Islamia University of Bahawalpur, Pakistan
Aqsa Safdar
Department of Statistics, The Islamia University of Bahawalpur, Pakistan
Abdul Salam
Department of Statistics, The Islamia University of Bahawalpur, Pakistan
Minimal circular weakly balanced neighbor designs (MCWBNDs) are efficient to controlneighbor effects for v even. MCWBNDs-II are designs where3v/2 unordered pairs of different treatments occur twice but remaining pairs occur once as neighbors, are not available for m (mod 4) ≡ 0& 3 in blocks of three different sizes with m = (v-2)/2 and v even. Here, some new generators are presented to develop cyclic shifts to get MCWBNDs-II in blocks of three different sizes.
VFAST-Research Platform
2023-09-14 17:34:42
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/1687
VFAST Transactions on Mathematics; Vol. 11 No. 2 (2023): July-December
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1712
2024-03-14T14:36:16Z
VTM:ART
nmb a2200000Iu 4500
"240313 2024 eng "
2309-0022
2411-6343
dc
A three step seventh order iterative method for solution nonlinear equation using Lagrange interpolation technique
Jamali, Sanaullah
University of Sindh, Laar Campus, Badin, Sindh, Pakistan https://orcid.org/0000-0002-1162-5909
Lakho, Fareed Ahmed
Institute of Mathematics and Computer Science, University of Sindh, Allama I.I. Kazi Campus, Jamshoro-76080, Sindh, Pakistan
Kalhoro, Zubair Ahmed
Institute of Mathematics and Computer Science, University of Sindh, Allama I.I. Kazi Campus, Jamshoro-76080, Sindh, Pakistan
Shaikh, Abdul Wasim
Institute of Mathematics and Computer Science, University of Sindh, Allama I.I. Kazi Campus, Jamshoro-76080, Sindh, Pakistan
Guan, Jinrui
Department of Mathematics and Statistics, Taiyuan Normal University, China. https://orcid.org/0000-0003-4314-3581
This research paper comprehensively presents the derivation of a seventh-order iteration scheme designed to obtain simple roots of nonlinear equations through the utilization of Lagrange interpolation technique. The scheme is characterized by the requirement for three function evaluations and one evaluation of the first derivative in each iteration. A detailed convergence analysis is also carried out to assess the efficacy of the proposed method. Additionally, the paper includes comprehensive numerical experiments aimed at confirming the theoretical results and illustrating the competitive performance of the derived iteration scheme.
VFAST-Research Platform
2024-03-06 00:21:03
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https://vfast.org/journals/index.php/VTM/article/view/1712
VFAST Transactions on Mathematics; Vol. 12 No. 1 (2024): January-June
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1716
2024-03-23T18:14:57Z
VTM:ART
nmb a2200000Iu 4500
"240323 2024 eng "
2309-0022
2411-6343
dc
Some New Generators to Produce Minimal Circular Strongly Balanced Generalized Neighbor Designs of Class-I
Abdul Salam
The Islamia University of Bahawalpur https://orcid.org/0000-0001-7327-0683
Hurria Ali
The Islamia university of Bahawalpur
Zubia Batool Shamshi
https://orcid.org/0009-0009-1872-6735
Jamshaid ul Hassan
The Islamia university of Bahawalpur https://orcid.org/0009-0001-6039-4182
Abid Khan
The Islamia university of Bahawalpur https://orcid.org/0009-0005-0714-3551
Sajid Hussain
The Islamia university of Bahawalpur https://orcid.org/0000-0002-3848-0981
Minimal circular strongly balanced neighbor designs control the neighbor effects economically but these designs can only be constructed for v odd. For v even, their alternates are minimal circular strongly balanced generalized neighbor designs of class-I (MCSBGNDs-I) which are the designs in which (i) each treatment appears exactly once with itself as neighbors, (ii) v/2 unordered pairs appear twice as neighbors while the remaining ones appear once. On the basis of constructors developed by Munir et al. (2023), some new generators are developed in this article to generate cyclic shifts for efficient MCSBGNDs-I in blocks of (i) equal sizes, (ii) two different sizes, and (iii) three different sizes for m (mod 4) ≡ 2 & 3 with v even and k = 4l, k = 4l+2, k (odd) > 3, k (mod) ≡ 1 & k (mod) ≡ 3. Efficiency of neighbor effects and of Separability show that our proposed generators produce designs which control the neighbor effects efficiently as well as estimate the direct effects and neighbor effects independently.
VFAST-Research Platform
2024-03-06 00:21:03
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https://vfast.org/journals/index.php/VTM/article/view/1716
VFAST Transactions on Mathematics; Vol. 12 No. 1 (2024): January-June
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1737
2024-03-22T19:23:19Z
VTM:ART
nmb a2200000Iu 4500
"240323 2024 eng "
2309-0022
2411-6343
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Exact Solution of Tank Drainage for Bingham Fluid flow circular tube
Ghulam Murtaza Oghai
Department of BSRS, Mehran University of Engineering and Technology Jamshoro, Pakistan https://orcid.org/0009-0006-7611-7194
Memon, Kamran Nazir
Syed Feroz Shah
Department of BSRS, Mehran University of Engineering and Technology Jamshoro, Pakistan https://orcid.org/0000-0002-6964-1469
Azam Ali Amur
GBLSS Soomar khaskheli, School Education and literacy department Government of sindh, Pakistan https://orcid.org/0009-0005-1746-6290
Unsteady tank drainage of Bingham Plastic fluid whose flow of the fluid is due to gravity, is considered in this study. The separation of variables method is used to obtain the exact solution of the fluid. Due to very high yield stress of the fluid no slip condition is used to find out the velocity profile of the fluid. The primary objective of this work is to find the velocity profile, flow rate, shear stress, average velocity, time efflux, the relationship between the time (varying with the depth of a tank) and the time required for complete drainage from emerging partial differential equation. It has been observed that when the Bingham model parameters, flow region and pipe length increase, the time required to drain the fluid from the tank also increases. Furthermore, findings indicate that higher density and a larger pipe radius result in quicker drainage of Bingham plastic fluid from the circular tank.
VFAST-Research Platform
2024-03-06 00:21:03
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https://vfast.org/journals/index.php/VTM/article/view/1737
VFAST Transactions on Mathematics; Vol. 12 No. 1 (2024): January-June
eng
Copyright (c) 2024 VFAST Transactions on Mathematics
oai:ojs.pkp.sfu.ca:article/1739
2024-03-25T17:59:37Z
VTM:ART
nmb a2200000Iu 4500
"240325 2024 eng "
2309-0022
2411-6343
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Quadratic twist of an elliptic curve in a generalized Weierstrass equation over a function field
Fida Hussain
Department of Mathematics, Dawood university of engineering and technology, Karachi,Sindh, Pakistan. https://orcid.org/0009-0007-2742-7556
Muhamad Afzal Soomro
Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah Sindh Pakistan https://orcid.org/0000-0002-2398-1716
Iqrar Ali Pali
Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah Sindh Pakistan https://orcid.org/0009-0004-6286-3714
Safia Amir Dahri
Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah Sindh Pakistan https://orcid.org/0000-0002-4075-6043
Abdul Rehman Soomro
Institute of Business Administration Sukkur, Sindh Pakistan https://orcid.org/0009-0007-4583-9650
This paper mainly focuses on the construction of a quadratic twist for an elliptic curve represented in a generalized Weierstrass equation over the field Fq(t). The specific form of the quadratic twist, presented in the generalized Weierstrass equation, is determined by linear algebra approach and discussed in detail.
VFAST-Research Platform
2024-03-06 00:21:03
application/pdf
https://vfast.org/journals/index.php/VTM/article/view/1739
VFAST Transactions on Mathematics; Vol. 12 No. 1 (2024): January-June
eng
Copyright (c) 2024 VFAST Transactions on Mathematics