Volume no :4, Issue no: 2, March 2010

Journal of Mathematical Sciences: Advances and Applications

NUMERICAL SOLUTION OF KAWAHARA'S EQUATION BY COMBINING HOMOTOPY PERTURBATION AND VARIATIONAL ITERATION METHODS

Author's: M. Matinfar, M. Mahdavi and Z. Raeisy
Pages: [439] - [449]
Received Date: January 13, 2010; Revised January 20, 2010
Submitted by:

Abstract

In this paper, exact and numerical solutions are obtained for the Kawahara’s equation by variational homotopy perturbation method (VHPM). 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.

Keywords

variational homotopy perturbation method, Kawahara’s equation.