An efficient method to approximate eigenvalues and eigenfunctions of high order Sturm-Liouville problems

Biazar, Jafar; Dehghan, Mohammad; Houlari, Tahereh

doi:10.22034/cmde.2020.29144.1417

An efficient method to approximate eigenvalues and eigenfunctions of high order Sturm-Liouville problems

Document Type : Research Paper

Authors

¹ Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-1914, Guilan, Rasht, Iran.

² Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran.

10.22034/cmde.2020.29144.1417

Abstract

determination of eigenvalues and eigenfunctions of a High-order Sturm-Liouville problem (HSLP) is considered. To this end, the Differential Transformation Method (DTM) is applied which is an efficient technique for solving differential equations. The results of the proposed approach are compared with those of some well-known methods reported in the literature. Four illustrative real life examples of mechanical engineering are provided to show the ability and the cost-effectiveness of this numerical approach.

Keywords