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Explicit analytical solutions of the generalized Burger and Burger–Fisher equations by homotopy perturbation method

Explicit analytical solutions of the generalized Burger and Burger–Fisher equations by homotopy... In this article, we apply the homotopy perturbation method (HPM) to obtain approximate analytical solutions of the generalized Burger and Burger‐Fisher (B–F) equations. Several numerical examples are given to illustrate the efficiency of the HPM. Comparison of the result obtained by the present method with exact solution reveals that the accuracy and fast convergence of the new method. It is predicted that the HPM can be found wide application in engineering problems. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Numerical Methods for Partial Differential Equations Wiley

Explicit analytical solutions of the generalized Burger and Burger–Fisher equations by homotopy perturbation method

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References (47)

Publisher
Wiley
Copyright
Copyright © 2008 Wiley Periodicals, Inc.
ISSN
0749-159X
eISSN
1098-2426
DOI
10.1002/num.20350
Publisher site
See Article on Publisher Site

Abstract

In this article, we apply the homotopy perturbation method (HPM) to obtain approximate analytical solutions of the generalized Burger and Burger‐Fisher (B–F) equations. Several numerical examples are given to illustrate the efficiency of the HPM. Comparison of the result obtained by the present method with exact solution reveals that the accuracy and fast convergence of the new method. It is predicted that the HPM can be found wide application in engineering problems. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009

Journal

Numerical Methods for Partial Differential EquationsWiley

Published: Mar 1, 2009

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