The modified algorithm for the differential transform method to solution of Genesio systems

被引：40

作者：

Gokdogan, Ahmet ^{[2
]}

Merdan, Mehmet ^{[3
]}

Yildirim, Ahmet ^{[1
]}

机构：

[1] Ege Univ, Dept Math, TR-35000 Izmir, Turkey

[2] Gumushane Univ, Dept Software Engn, TR-29100 Gumushane, Turkey

[3] Gumushane Univ, Dept Geomat Engn, TR-29100 Gumushane, Turkey

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 01期

关键词：

Pade approximant; The differential transform method; Genesio systems; BOUNDARY-VALUE-PROBLEMS; NONLINEAR OSCILLATORY SYSTEMS; VARIATIONAL ITERATION METHOD; LOTKA-VOLTERRA SYSTEMS; ADOMIAN-PADE TECHNIQUE; DECOMPOSITION METHOD; INTEGRODIFFERENTIAL EQUATIONS; MODEL;

D O I：

10.1016/j.cnsns.2011.03.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, approximate analytical solution of chaotic Genesio system is acquired by the modified differential transform method (MDTM). The differential transform method (DTM) is mentioned in summary. MDTM can be obtained from DTM applied to Laplace, inverse Laplace transform and Pade approximant. The MDTM is used to increase the accuracy and accelerate the convergence rate of truncated series solution getting by the DTM. Results are given with tables and figures. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：45 / 51

页数：7

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