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

作者：Hesam S^*; Nazemi A R; Haghbin A

来源：Scientia Iranica, 2013, 20(6): 1805-1811.

• Kuramoto-Sivashinsky equation
• Differential transform method
• Exact solution
• Closed form solution

In this paper, the numerical solution of the generalized Kuramoto-Sivashinsky equation is presented using the Differential Transform Method (DTM). The DTM is a powerful and efficient technique for finding 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 the accuracy and robustness of the method for solving a class of nonlinear partial differential equations.

• 出版日期2013-12