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