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.
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页码：173 / 188
页数：16
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