THE APPLICATION OF THE VARIATIONAL HOMOTOPY PERTURBATION METHOD ON THE GENERALIZED FISHER'S EQUATION

Subject Areas : International Journal of Mathematical Modelling & Computations

M. Matinfar ¹ , M. Mahdavi ²

1 - Faculty of Sciences, Mazandaran University, Iran Iran, Islamic Republic of Department of Mathematics
2 - Faculty of Sciences, Mazandaran University, Iran Iran, Islamic Republic of Department of Mathematics

Received: 2016-04-13 Accepted : 2016-04-13 Published : 2011-03-21

Keywords: Lagrange multiplier, Variational Homotopy Perturbation Method, Fisher’s equation,

Abstract :

In this paper, we consider the variational homotopy perturbation method (VHPM) to obtain an approximate series solution for the generalized Fisher’s equation which converges to the exact solution in the region of convergence. Comparisons are made among the variational iteration method (VIM), the exact solutions and the proposed method. The results reveal that the proposed method is very effective and simple and can be applied for other nonlinear problems in mathematical.