Numerical method for the wave and nonlinear diffusion equations with the homotopy perturbation method

Authors:
Changbum Chun;Hossein Jafari;Yong-Il Kim
Affiliations:
Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea;Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran;School of Liberal Arts, Korea University of Technology and Education, Cheonan, Chungnam 330-708, Republic of Korea
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 2
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Abstract

In this paper, the homotopy perturbation method and a modified homotopy perturbation method are used for analytical treatment of the wave equation and some nonlinear diffusion equations, respectively. Some examples are given to illustrate that a suitable choice of an initial solution can lead to the exact solution, this revealing the reliability and effectiveness of the method.