Error analysis of a finite element method with GMMP temporal discretisation for a time-fractional diffusion equation

DOI10.1016/J.CAMWA.2019.12.006zbMath1437.65191OpenAlexW2995880743MaRDI QIDQ2308488

Chaobao Huang, Martin Stynes

Publication date: 3 April 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.12.006

zbMATH Keywords

finite element methodfractional diffusion equationGorenflo-Mainardi-Moretti-Paradisi (GMMP) scheme

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Fractional partial differential equations (35R11)

Related Items (8)

Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments ⋮ On high order numerical schemes for fractional differential equations by block-by-block approach ⋮ Convergence and stability of Galerkin finite element method for hyperbolic partial differential equation with piecewise continuous arguments ⋮ Grünwald-Letnikov scheme for a multi-term time fractional reaction-subdiffusion equation ⋮ An \(\alpha \)-robust finite element method for a multi-term time-fractional diffusion problem ⋮ \(\alpha\)-robust \(H^1\)-norm convergence analysis of ADI scheme for two-dimensional time-fractional diffusion equation ⋮ Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation ⋮ Sharp error estimate of a Grünwald-Letnikov scheme for reaction-subdiffusion equations

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