A new algorithm for calculating two-dimensional differential transform of nonlinear functions

被引：36

作者：

Chang, Shih-Hsiang ^{[1
]}

Chang, I-Ling ^{[2
]}

机构：

[1] Far E Univ, Dept Mech Engn, Tainan 74448, Taiwan

[2] Natl Chung Cheng Univ, Dept Mech Engn, Chiayi 621, Taiwan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 07期

关键词：

Differential transform method; Partial differential equation; Nonlinearity; TAYLOR TRANSFORMATION; EQUATIONS; SYSTEM;

D O I：

10.1016/j.amc.2009.08.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new algorithm for calculating the two-dimensional differential transform of nonlinear functions is developed in this paper. This new technique is illustrated by studying suitable forms of nonlinearity. Three strongly nonlinear partial differential equations are then solved by differential transform method to demonstrate the validity and applicability of the proposed algorithm. The present framework offers a computationally easier approach to compute the transformed function for all forms of nonlinearity. This gives the technique much wider applicability. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：2486 / 2494

页数：9

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