Numerical Solution of Non-linear System of Partial Differential Equations by Using HPM Method


Abstract in English

In this article, we propose a powerful method called homotopy perturbation method (HPM) for obtaining the analytical solutions for an non-linear system of partial differential equations. We begin this article by apply HPM method for an important models of linear and non-linear partial differential equations.

References used

Biazar, J & Ghazvini, H . 2009 – Convergence of the homotopy perturbation method for partial differential equations . Vol .10 , 2633-2640
DENIZ, S. & BILDIK , N. 2014 _ Comparison of Adomian Decomposition Method and Taylor Matrix Method in Solving Different Kinds of Partial Differential . International Journal of Modeling and Optimization . Vol . 4 , 292-298p
Desai , K .R . & V.H.Pradhan . 2013 _ Solution by Homotopy Perturbation Method of Linear and Nonlinear Diffusion Equation . International Journal of Emerging Technology and Advanced Engineering . Vol . 3 , 171-175 p

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