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

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.
10.22075/ijnaa.2012.49
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

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

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