Analysis of spectral approximations using eigenfunctions of fractional Sturm-Liouville problems

DOI10.1007/S10915-019-01056-4zbMath1442.34135OpenAlexW2976808369WikidataQ127205146 ScholiaQ127205146MaRDI QIDQ2291885

Haiyong Wang

Publication date: 31 January 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-019-01056-4

zbMATH Keywords

Jacobi polynomialserror estimatefractional Sturm-Liouville problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Fractional derivatives and integrals (26A33) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Rate of convergence, degree of approximation (41A25) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Fractional ordinary differential equations (34A08)

Related Items (2)

A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions ⋮ A numerical method for fractional Sturm-Liouville problems involving the Cauchy-Euler operators

Uses Software

• DLMF

Cites Work

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