Approximate solution of periodic Sturm-Liouville problems with Chebyshev collocation method

Celik I., Gokmen G.

APPLIED MATHEMATICS AND COMPUTATION, vol.170, no.1, pp.285-295, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 170 Issue: 1
  • Publication Date: 2005
  • Doi Number: 10.1016/j.amc.2004.11.038
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.285-295
  • Keywords: periodic eigenvalue problem, collocation method, Chebyshev series
  • Dokuz Eylül University Affiliated: No

Abstract

This study investigates the eigenvalues of regular Sturm-Liouville problems with Chebyshev collocation method for the approximate computation of periodic boundary conditions by a truncated Chebyshev series. Corrected eigenvalues with the Chebyshev collocation method was obtained by using asymptotic correction technique. The results were encouraging. (c) 2005 Elsevier Inc. All rights reserved.