Convergence analysis of the anisotropic FEM for 2D time fractional variable coefficient diffusion equations on graded meshes

DOI10.1016/j.aml.2020.106604zbMath1452.65254OpenAlexW3037899642WikidataQ110648596 ScholiaQ110648596MaRDI QIDQ2006307

Shujuan Lü, Yan-Min Zhao, Hu Chen, Fen-Ling Wang, Ya-Bing Wei

Publication date: 8 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106604

zbMATH Keywords

convergencegraded meshes\( L 2- 1_\sigma\) schemeanisotropic FEMtime fractional variable coefficient diffusion equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (4)

Anisotropic $EQ_1^{rot}$ Finite Element Approximation for a Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation ⋮ Second-order and nonuniform time-stepping schemes for time fractional evolution equations with time-space dependent coefficients ⋮ \(\alpha\)-robust analysis of fast and novel two-grid FEM with nonuniform \(\mathrm{L}1\) scheme for semilinear time-fractional variable coefficient diffusion equations ⋮ Unconditionally convergent and superconvergent finite element method for nonlinear time-fractional parabolic equations with distributed delay

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