The application of the modified variational iteration method on the generalized Fisher’s equation

Abstract

In a recent paper, Abassy et al. (J. Comput. Appl. Math. 207:137–147, 2007) proposed a modified variational iteration method (MVIM) for a special kind of nonlinear differential equations. In this paper, we consider variational iteration method (VIM) and MVIM (proposed in Abassy et al., J. Comput. Appl. Math. 207:137–147, 2007) to obtain an approximate series solution to the generalized Fisher’s equation which converges to the exact solution in the region of convergence. It is also shown that the application of VIM to the generalized Fisher’s equation leads to calculation of unneeded terms for series solution. Therefore, we use MVIM to overcome this disadvantage. Comparison of error between VIM and MVIM is made. The results show that the MVIM is more effective than the VIM.