Operator splitting methods for computation of eigenvalues of regular Sturm-Liouville problems

Güzel İ., ADIYAMAN M., Somalı S.

Surveys in Mathematics and its Applications, vol.14, pp.261-275, 2019 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 14
  • Publication Date: 2019
  • Journal Name: Surveys in Mathematics and its Applications
  • Journal Indexes: Scopus
  • Page Numbers: pp.261-275
  • Keywords: Eigenvalues, Operator Splitting Method, Sturm-Liouville Problem
  • Middle East Technical University Affiliated: No

Abstract

The purpose of this paper is to compute the highest eigenvalues of regular Sturm-Liouville problems with Dirichlet boundary conditions using symmetrical weighted sequential splitting method. The accuracy of the higher eigenvalues of the problem is demonstrated by some classical examples.