International Journal of Differential Equations
Volume 2010 (2010), Article ID 254675, 16 pages
Research Article

Convergence of Iterative Methods Applied to Generalized Fisher Equation

Young Researchers Club, Islamic Azad University, Central Tehran Branch, P.O. Box 15655/461, Tehran, Iran

Received 12 April 2010; Accepted 13 September 2010

Academic Editor: Christo I. Christov

Copyright © 2010 Sh. Sadigh Behzadi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A generalized Fisher's equation is solved by using the modified Adomian decomposition method (MADM), variational iteration method (VIM), homotopy analysis method (HAM), and modified homotopy perturbation method (MHPM). The approximation solution of this equation is calculated in the form of series whose components are computed easily. The existence, uniqueness, and convergence of the proposed methods are proved. Numerical example is studied to demonstrate the accuracy of the present methods.