An accurate method for solving a class of fractional Sturm-Liouville eigenvalue problems

Bothayna S.H. Kashkari, Muhammed I. Syam

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

This article is devoted to both theoretical and numerical study of the eigenvalues of nonsingular fractional second-order Sturm-Liouville problem. In this paper, we implement a fractional-order Legendre Tau method to approximate the eigenvalues. This method transforms the Sturm-Liouville problem to a sparse nonsingular linear system which is solved using the continuation method. Theoretical results for the considered problem are provided and proved. Numerical results are presented to show the efficiency of the proposed method.

Original languageEnglish
Pages (from-to)560-569
Number of pages10
JournalResults in Physics
Volume9
DOIs
Publication statusPublished - Jun 2018

Keywords

  • A fractional-order Legendre functions
  • Eigenvalues
  • Fractional second-order Sturm-Liouville problem

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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