The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

DOI10.1137/130910865zbMath1292.65096OpenAlexW2043080303WikidataQ60123817 ScholiaQ60123817MaRDI QIDQ5404622

Fawang Liu, Changpin Li, Fanhai Zeng, Ian W. Turner

Publication date: 28 March 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130910865

zbMATH Keywords

convergencefinite element methodfinite difference methodnumerical examplesunconditional stabilityfractional derivativefractional diffusion equationssubdiffusionfractional linear multi-step method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

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