Application of differential transformation to eigenvalue problems

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.