Modification of the Homotopy Perturbation Method for Numerical Solution of Nonlinear Wave and System of Nonlinear Wave Equations
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Authors
B. Ghazanfari
- Department of Mathematics, Faculty of Science, Lorestan University, 68137-17133 Khorramabad, Iran
A. G. Ghazanfari
- Department of Mathematics, Faculty of Science, Lorestan University, 68137-17133 Khorramabad, Iran
M. Fuladvand
- Department of Mathematics, Faculty of Science, Lorestan University, 68137-17133 Khorramabad, Iran
Abstract
In this paper, the modification of the homotopy perturbation method (MHPM) Zaid M. Odibat (Appl. Math. Comput. 2007 ) is extended to derive approximate solutions of the nonlinear coupled wave equations. This work will present a numerical comparison between the modification and the homotopy perturbation method (HPM). In order to show the ability and reliability of the method some examples are provided. The results reveal that the method is very effective and simple. The modified method accelerates the rapid convergence of the series solution and reduces the size of work.
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ISRP Style
B. Ghazanfari, A. G. Ghazanfari, M. Fuladvand, Modification of the Homotopy Perturbation Method for Numerical Solution of Nonlinear Wave and System of Nonlinear Wave Equations, Journal of Mathematics and Computer Science, 3 (2011), no. 2, 212--224
AMA Style
Ghazanfari B., Ghazanfari A. G., Fuladvand M., Modification of the Homotopy Perturbation Method for Numerical Solution of Nonlinear Wave and System of Nonlinear Wave Equations. J Math Comput SCI-JM. (2011); 3(2):212--224
Chicago/Turabian Style
Ghazanfari, B., Ghazanfari, A. G., Fuladvand, M.. "Modification of the Homotopy Perturbation Method for Numerical Solution of Nonlinear Wave and System of Nonlinear Wave Equations." Journal of Mathematics and Computer Science, 3, no. 2 (2011): 212--224
Keywords
- Homotopy purturbation method
- Nonlinear differential equations
- Modified homotopy perturbation method
- Homotopy purturbation method
- Nonlinear differential equations
- Modified homotopy perturbation method
MSC
- 34A45
- 65L10
- 65L03
- 65H20
- 35J05
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