Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions

DOI10.1007/s10915-019-01117-8zbMath1433.65247OpenAlexW2999290147MaRDI QIDQ2291933

Ahmed S. Hendy, Jorge Eduardo Macías-Díaz, Mahmoud A. Zaky

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/s10915-019-01117-8

zbMATH Keywords

graded meshGalerkin spectral method\(L1\) schemesfractional Gronwall-type inequalitynonlinear time-space fractional diffusion

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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) Functional-differential equations with fractional derivatives (34K37) Numerical methods for difference equations (65Q10)

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