Approximations of Sturm-Liouville Eigenvalues Using Sinc-Galerkin and Differential Transform Methods

Authors

Marwan Taiseer Alquran, Jordan University of Science and Technology
Kamel Al-Khaled, Jordan University of Science and Technology

Abstract

In this paper, we present a comparative study of Sinc-Galerkin method and differential transform method to solve Sturm-Liouville eigenvalue problem. As an application, a comparison between the two methods for various celebrated Sturm-Liouville problems are analyzed for their eigenvalues and solutions. The study outlines the significant features of the two methods. The results show that these methods are very efficient, and can be applied to a large class of problems. The comparison of the methods shows that although the numerical results of these methods are the same, differential transform method is much easier, and more efficient than the Sinc-Galerkin method.

Recommended Citation

Alquran, Marwan Taiseer and Al-Khaled, Kamel (2010). Approximations of Sturm-Liouville Eigenvalues Using Sinc-Galerkin and Differential Transform Methods, Applications and Applied Mathematics: An International Journal (AAM), Vol. 5, Iss. 1, Article 11.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss1/11