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

Document Type : Research Paper


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.


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.


  • Receive Date: 17 May 2011
  • Revise Date: 02 December 2012
  • Accept Date: 08 December 2012