Computing the spectrum of non-self-adjoint Sturm-Liouville problems with parameter-dependent boundary conditions

  • B. Chanane*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

This paper deals with the computation of the eigenvalues of non-self-adjoint Sturm-Liouville problems with parameter-dependent boundary conditions using the regularized sampling method. A few numerical examples among which singular ones will be presented to illustrate the merit of the method and comparison made with the exact eigenvalues when they are available.

Original languageEnglish
Pages (from-to)229-237
Number of pages9
JournalJournal of Computational and Applied Mathematics
Volume206
Issue number1
DOIs
StatePublished - 1 Sep 2007

Keywords

  • Non-self-adjoint eigenvalue problems
  • Regularized sampling method
  • Shannon's sampling theory
  • Singular Sturm-Liouville problems
  • Sturm-Liouville problems
  • Whittaker-Shannon-Kotel'nikov theorem

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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