An alternating direction Galerkin method for a time-fractional partial differential equation with damping in two space dimensions

DOI10.1186/S13662-017-1414-9zbMath1444.65048OpenAlexW2767445314WikidataQ59527385 ScholiaQ59527385MaRDI QIDQ1710125

Changpin Li, An Chen

Publication date: 15 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1414-9

zbMATH Keywords

convergenceGalerkin methodunconditional stabilityCaputo derivative

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 (5)

Efficient Galerkin finite element methods for a time-fractional Cattaneo equation ⋮ Mixed finite element algorithm for a nonlinear time fractional wave model ⋮ A two-grid ADI finite element approximation for a nonlinear distributed-order fractional sub-diffusion equation ⋮ Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation ⋮ Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data

Cites Work

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