Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations

DOI10.1007/s40314-019-0845-1zbMath1438.65244OpenAlexW2926693694WikidataQ128127416 ScholiaQ128127416MaRDI QIDQ2322470

Mahmoud A. Zaky, Mohamed A. Abdelkawy, António M. Lopes

Publication date: 4 September 2019

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-019-0845-1

zbMATH Keywords

spectral collocation methodCaputo fractional derivativedistributed order fractional reaction-diffusion equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral and related methods applied to problems in solid mechanics (74S25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

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