Numerical Solution for Solving Burger's-Fisher Eguation by Using Iterative Methods
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
Published: 1 August 2011
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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MDPI and ACS Style
Behzadi, S.S.; Araghi, M.A.F. Numerical Solution for Solving Burger's-Fisher Eguation by Using Iterative Methods. Math. Comput. Appl. 2011, 16, 443-455. https://doi.org/10.3390/mca16020443
AMA Style
Behzadi SS, Araghi MAF. Numerical Solution for Solving Burger's-Fisher Eguation by Using Iterative Methods. Mathematical and Computational Applications. 2011; 16(2):443-455. https://doi.org/10.3390/mca16020443
Chicago/Turabian StyleBehzadi, Sh.Sadigh, and M.A. Fariborzi Araghi. 2011. "Numerical Solution for Solving Burger's-Fisher Eguation by Using Iterative Methods" Mathematical and Computational Applications 16, no. 2: 443-455. https://doi.org/10.3390/mca16020443
