On solving the initial-value problems using the differential transformation method

被引：113
|
作者：
Jang, MJ
Chen, CL [1 ]
Liy, YC
机构：
[1] Natl Cheng Kung Univ, Dept Mech Engn, Tainan 70101, Taiwan
[2] Natl Cheng Kung Univ, Inst Aeronaut & Astronaut, Tainan 70101, Taiwan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2000年 / 115卷 / 2-3期
关键词：
differential transform; adaptive step-size; stiff equation;
D O I：
10.1016/S0096-3003(99)00137-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, initial-value problems are solved by the differential transformation method. The differential transformation method of fixed grid size is used to approximate solutions of linear and nonlinear initial-value problems. An adaptive grid size mechanism based on the fixed grid size technique is also proposed. The proposed adaptive grid size procedure provides concise adjustment policy and raises computational efficiency of using differential transformation method. (C) 2000 Elsevier Science Inc. All rights reserved.
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页码：145 / 160
页数：16
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