Solutions of the system of differential equations by differentical transform method

被引：263

作者：

Ayaz, F ^{[1
]}

机构：

[1] Univ Balikesir, Dept Math, TR-10100 Balikesir, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 147卷 / 02期

关键词：

systems of partial differential equations; differential transform method; approximation method;

D O I：

10.1016/S0096-3003(02)00794-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, three-dimensional differential transform method has been introduced and fundamental theorems have been defined for the first time. Moreover, as an application of two and three-dimensional differential transform, exact solutions of linear and non-linear systems of partial differential equations have been investigated. The results of the present method are compared very well with those obtained by decomposition method. Differential transform method can easily be applied to linear or nonlinear problems and reduces the size of computational work. With this method exact solutions may be obtained without any need of cumbersome work and it is an useful tool for analytical and numerical solutions. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：547 / 567

页数：21

共 8 条

[1] AYAZ F, IN PRESS 2 DIMENSION
[2] Chen CK, 1999, APPL MATH COMPUT, V106, P171, DOI 10.1016/S0096-3003(98)10115-7
[3] David Logan J., 1994, INTRO NONLINEAR PART
[4] Debnath L., 1997, NONLINEAR PARTIAL DI
[5] Two-dimensional differential transform for partial differential equations
Jang, MJ
Chen, CL
Liu, YC
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2001, 121 (2-3) : 261 - 270
[6] The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator model
Wazwaz, AM
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2000, 110 (2-3) : 251 - 264
[7] Whitham G. B, 1999, LINEAR NONLINEAR WAV
[8] Zhou J., 1986, DIFFERENTIAL TRANSFO

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