Legendre approximation method for computing eigenvalues of fourth order fractional Sturm–Liouville problem

A. Aghazadeh, Y. Mahmoudi and F.D. Saei

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 206, issue C, 286-301

Abstract: In this paper, a special class of fractional Sturm–Liouville problems of order α (3<α≤4) is discussed. The method is based on utilizing the shifted Legendre polynomials on the interval [0,L] to find numerical approximations for eigenvalues and corresponding eigenfunctions. The proposed method is implemented on several numerical examples. The numerical results indicate the high performance of the method, its effectiveness, and its simplicity in use.

Keywords: Sturm–Liouville problem; Caputo derivative; Eigenvalue; Eigenfunction; Legendre polynomials (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:206:y:2023:i:c:p:286-301

DOI: 10.1016/j.matcom.2022.11.007

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