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  • Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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1 August 2011

13 Pages

Numerical Solution for Solving Burger's-Fisher Eguation by Using Iterative Methods

and
1
Young Researchers Club, Islamic Azad University, Central Tehran Branch, P.O.Box 15655/461, Tehran, Iran
2
Department of Mathematics, Islamic Azad University,Central Tehran Branch, P.O.Box 13185/768, Tehran, Iran
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl.2011, 16(2), 443-455;https://doi.org/10.3390/mca16020443
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Abstract

In this paper, a Burger’s-Fisher equation is solved by using the Adomian’s decomposition method (ADM) , modified Adomian’s decomposition method (MADM), variational iteration method (VIM), modified variational iteration method (MVIM), modified homotopy perturbation method (MHPM) and homotopy analysis method (HAM). The approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. The existence and uniqueness of the solution and the convergence of the proposed methods are proved. A numerical example is studied to demonstrate the accuracy of the presented methods.

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