Approximate solutions for Fornberg‐Whitham type equations
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 3 August 2012
Abstract
Purpose
The purpose of this study is to propose an analytical approach based on the homotopy perturbation method (HPM) for solving the initial value problems associated with the Fornberg‐Whitham type equations.
Design/methodology/approach
In this paper, He's HPM is applied to Fornberg‐Whitham equations. The procedure of the method is systematically illustrated.
Findings
The results show that the HPM is a powerful mathematical tool to solving these equations, it is also a promising method to solve other nonlinear equations.
Originality/value
The results show applicability, accuracy and efficiency of HPM in solving nonlinear differential equations. It is predicted that HPM can be widely applied in science and engineering problems.
Keywords
Citation
Biazar, J. and Eslami, M. (2012), "Approximate solutions for Fornberg‐Whitham type equations", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22 No. 6, pp. 803-812. https://doi.org/10.1108/09615531211244934
Publisher
:Emerald Group Publishing Limited
Copyright © 2012, Emerald Group Publishing Limited