Document Type : Research Paper

Authors

• M. Ghasemi ¹
• A. Davari ²
• M. Fardi ³

¹ Department of Applied Mathematics, Faculty of Science, Shahrekord University, Shahrekord, P. O. Box 115, Iran.

² Department of Mathematics, University of Isfahan, Isfahan, Iran.

³ Department 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