Spatial high accuracy analysis of FEM for two-dimensional multi-term time-fractional diffusion-wave equations

DOI10.1007/s10255-018-0795-1zbMath1404.65126OpenAlexW2895081034WikidataQ129151597 ScholiaQ129151597MaRDI QIDQ1617046

Fen-Ling Wang, Ya-Bing Wei, Yi-Fa Tang, Yan-Min Zhao, Zheng-Guang Shi

Publication date: 7 November 2018

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-018-0795-1

zbMATH Keywords

stabilityconvergencesuperconvergencebilinear finite element methodmulti-term time-fractional diffusion-wave equationCrank-Nicolson approximation

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

Related Items (4)

Two-grid finite element methods for nonlinear time fractional variable coefficient diffusion equations ⋮ High-order compact finite volume scheme for the 2D multi-term time fractional sub-diffusion equation ⋮ Approximate solution of the multi-term time fractional diffusion and diffusion-wave equations ⋮ Convergence analysis of the anisotropic FEM for 2D time fractional variable coefficient diffusion equations on graded meshes

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