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International Journal of Nonlinear Analysis and Applications
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Ghasemi, M., Davari, A., Fardi, M. (2012). Application of He's homotopy perturbation method for solving Sivashinsky equation. International Journal of Nonlinear Analysis and Applications, 3(1), 61-67. doi: 10.22075/ijnaa.2012.49
M. Ghasemi; A. Davari; M. Fardi. "Application of He's homotopy perturbation method for solving Sivashinsky equation". International Journal of Nonlinear Analysis and Applications, 3, 1, 2012, 61-67. doi: 10.22075/ijnaa.2012.49
Ghasemi, M., Davari, A., Fardi, M. (2012). 'Application of He's homotopy perturbation method for solving Sivashinsky equation', International Journal of Nonlinear Analysis and Applications, 3(1), pp. 61-67. doi: 10.22075/ijnaa.2012.49
Ghasemi, M., Davari, A., Fardi, M. Application of He's homotopy perturbation method for solving Sivashinsky equation. International Journal of Nonlinear Analysis and Applications, 2012; 3(1): 61-67. doi: 10.22075/ijnaa.2012.49

Application of He's homotopy perturbation method for solving Sivashinsky equation

Article 9, Volume 3, Issue 1, Winter and Spring 2012, Page 61-67  XML PDF (291 K)
DOI: 10.22075/ijnaa.2012.49
Authors
M. Ghasemi* 1; A. Davari2; M. Fardi3
1Department of Applied Mathematics, Faculty of Science, Shahrekord University, Shahrekord, P. O. Box 115, Iran.
2Department of Mathematics, University of Isfahan, Isfahan, Iran.
3Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran.
Abstract
In this paper, the solution of the evolutionary
fourth-order in space, Sivashinsky equation is obtained by means
of homotopy perturbation method (textbf{HPM}). The results reveal
that the method is very effective, convenient  and quite accurate
to systems of nonlinear partial differential equations.
Keywords
Homotopy perturbation method; Sivashinsky equation
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