Application of differential transformation to eigenvalue problems

被引：158

作者：

Chen, CK

Ho, SH

机构：

[1] Department of Mechanical Engineering, National Cheng Kung University, Tainan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1996年 / 79卷 / 2-3期

关键词：

D O I：

10.1016/0096-3003(95)00253-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using differential transformation to solve eigenvalue problems is introduced in this study. First, differential transformation is introduced briefly. Second, taking differential transformation of the Strum-Liouville problem, a set of difference equations is derived. Doing some simple mathematics operations on these operations, we can get any ith eigenvalue and eigenfunction at a time. Finally, two eigenvalue problems are solved by the present method. The calculated results are compared closely with the results obtained by another analytical method.

引用

页码：173 / 188

页数：16

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