Approximate solutions for Fornberg‐Whitham type equations

Approximate solutions for Fornberg‐Whitham type equations 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat & Fluid Flow Emerald Publishing

Approximate solutions for Fornberg‐Whitham type equations

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Publisher
Emerald Publishing
Copyright
Copyright © 2012 Emerald Group Publishing Limited. All rights reserved.
ISSN
0961-5539
DOI
10.1108/09615531211244934
Publisher site
See Article on Publisher Site

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.

Journal

International Journal of Numerical Methods for Heat & Fluid FlowEmerald Publishing

Published: Aug 3, 2012

Keywords: Fornberg‐Whitham equations; Homotopy perturbation method; Numerical analysis

References

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