Development of an Explicit Iterative Numerical Scheme Over the Modified Euler’s Method

Authors

  • Tuljaram Meghwar Department of Basic Sciences & Related Studies, Mehran Univeristy of Engineering and technology, Jamshoro, Sindh, Pakistan
  • Prem Kumar 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
  • Rahim Bux Khokhar Department of Basic Sciences & Related Studies, Mehran Univeristy of Engineering and technology, Jamshoro, Sindh, Pakistan
  • Asif Ali Shaikh Department of Basic Sciences & Related Studies, Mehran Univeristy of Engineering and technology, Jamshoro, Sindh, Pakistan
  • Evren Hincal Department of Mathematics, Near East University, 99138 Mersin, Turkey
  • Muhammad Anwar Solangi Department of Basic Sciences & Related Studies, Mehran Univeristy of Engineering and technology, Jamshoro, Sindh, Pakistan

DOI:

https://doi.org/10.21015/vtm.v11i1.1419

Abstract

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.

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Published

2023-04-19

Issue

Vol. 11 No. 1 (2023): January-June

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Articles

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