Two-dimensional differential transform for partial differential equations

被引：189

作者：

Jang, MJ

Chen, CL ^{[1
]}

Liu, YC

机构：

[1] Far E Coll, Dept Mech Engn, Tainan, Taiwan

[2] Natl Cheng Kung Univ, Inst Aeronaut & Astronaut, Tainan, Taiwan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2001年 / 121卷 / 2-3期

关键词：

differential transform; initial value problem; partial differential equation;

D O I：

10.1016/S0096-3003(99)00293-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The differential transform is a numerical method for solving differential equations. In this paper, we present the definition and operation of the two-dimensional differential transform. A distinctive feature of the differential transform is its ability to solve linear and nonlinear differential equations. Partial differential equation of parabolic, hyperbolic, elliptic and nonlinear types can be solved by the differential transform. We demonstrate that the differential transform is a feasible tool for obtaining the analytic form solutions of linear and nonlinear partial differential equation. (C) 2001 Elsevier Science Inc. All rights reserved.

引用

页码：261 / 270

页数：10

共 7 条

[1]

[Anonymous], 1988, ADV ENG MATH

[2] Solution of two-point boundary-value problems using the differential transformation method [J].