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
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.