Analytical solution for the generalized Kuramoto-Sivashinsky equation by differential transform method

Authors

1 Department of Mathematics, School of Mathematical Sciences, Shahrood University, P.O.Shahrood University, P.O.Box 3619995161-316, Shahrood, Iran

2 Department of Mathematics, School of Mathematical Sciences, Shahrood University, P.O.Box 3619995161-316, Shahrood, Iran

3 Department of Mathematics, Gorgan branch, Islamic Azad University, P.O. Box 4914739975-717, Gorgan, Iran

Abstract

In this paper, the numerical solution of the generalized Kuramoto-Sivashinsky equation is presented by differential transform method (DTM). The DTM is a powerful and efficient technique for nding solutions of nonlinear equations without the need of a linearization process. In this approach the solution is found in the form of a rapidly convergent series with easily computed components. Numerical experiments demonstrate accuracy and robustness of the method for solving a class of onlinear partial differential equations.

Keywords

Scientia Iranica
Volume 21, Issue 1
Transactions on Mechanical Engineering (B)
February 2014
Pages 229-229

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History

  • Receive Date: 05 August 2013
  • Revise Date: 22 December 2024
  • Accept Date: 27 July 2017

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