APPLICATION OF DIFFERENTIAL TRANSFORMATION TO EIGENVALUE PROBLEMS

Authors
Citation
Ck. Chen et Sh. Ho, APPLICATION OF DIFFERENTIAL TRANSFORMATION TO EIGENVALUE PROBLEMS, Applied mathematics and computation, 79(2-3), 1996, pp. 173-188
Citations number
3
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00963003
Volume
79
Issue
2-3
Year of publication
1996
Pages
173 - 188
Database
ISI
SICI code
0096-3003(1996)79:2-3<173:AODTTE>2.0.ZU;2-V
Abstract
Using differential transformation to solve eigenvalue problems is intr oduced in this study. First, differential transformation is introduced briefly. Second, taking differential transformation of the Strum-Liou ville problem, a set of difference equations is derived. Doing some si mple mathematics operations on these operations, we can get any ith ei genvalue 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.