Optimum solutions of partial differential equation with initial condition using optimization techniques
Abstract
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.
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DOI: http://dx.doi.org/10.21015/vtm.v10i2.1170
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