Solution of difference equations by using differential transform method

被引：99

作者：

Arikoglu, A ^{[1
]}

Ozkol, I ^{[1
]}

机构：

[1] Tech Univ Istanbul, Fac Aeronaut & Astronaut, TR-34469 Istanbul, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 174卷 / 02期

关键词：

differential transform method; DTM; difference equations; variable coefficients; nonlinear;

D O I：

10.1016/j.amc.2005.06.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work presents semi numerical-analytical solutions to both linear and nonlinear difference equations with variable coefficients by applying Differential Transform Method (DTM) and extending it with the related theorems and their proofs. To make clear and illustrate the features and capabilities of the presented method, examples are carried out and numerical results with comparison to exact solutions and other methods are given. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：1216 / 1228

页数：13

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