Explicit Analytical Solutions of the Generalized Burger and Burger-Fisher Equations by Homotopy Perturbation Method

摘要

In this article, we apply the homotopy perturbation method (HPM) to obtain approximate analytical solutions of the generalized Burger and Burger-Fisher (B-F) equations. Several numerical examples are given to illustrate the efficiency of the HPM. Comparison of the result obtained by the present method with exact solution reveals that the accuracy and fast convergence of the new method. It is predicted that the HPM can be found wide application in engineering problems. (C) 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 25: 409-417, 2009