A posteriori error estimates of spectral Galerkin methods for multi-term time fractional diffusion equations

DOI10.1016/J.AML.2021.107259OpenAlexW3150180510MaRDI QIDQ2233306

Bo Tang, Xiuxiu Lin, Yanping Chen

Publication date: 15 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107259

zbMATH Keywords

a posteriori error estimatesfractional diffusion equationsspectral Galerkin methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (4)

A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions ⋮ Two-grid \(H^1 \)-Galerkin mixed finite elements combined with \(L1\) scheme for nonlinear time fractional parabolic equations ⋮ Pointwise-in-time a posteriori error control for time-fractional parabolic equations ⋮ Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media

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