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

被引：0

作者：

Hesam, S. ^{[1
]}

Nazemi, A. R. ^{[1
]}

Haghbin, A. ^{[2
]}

机构：

[1] Shahrood Univ, Sch Math Sci, Dept Math, Shahrood, Iran

[2] Ferdowsi Univ Mashhad, Dept Math Sci, Mashhad, Iran

来源：

SCIENTIA IRANICA | 2013年 / 20卷 / 06期

关键词：

Kuramoto-Sivashinsky equation; Differential transform method; Exact solution; Closed form solution; TRAVELING-WAVE SOLUTIONS; TANH-FUNCTION METHOD; STABILITY; SYSTEMS; CORE; FLOW;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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. (C) 2013 Sharif University of Technology. All rights reserved.

引用

页码：1805 / 1811

页数：7

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