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.

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


Volume 8, Issue 2
April 2020
Pages 389-400
  • Receive Date: 15 September 2018
  • Revise Date: 21 January 2019
  • Accept Date: 23 February 2019
  • First Publish Date: 01 April 2020