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

Authors

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