A Semidiscrete Finite Element Approximation of a Time-Fractional Fokker--Planck Equation with NonSmooth Initial Data

DOI10.1137/17M1125261zbMath1404.65123arXiv1902.03204OpenAlexW3099874855MaRDI QIDQ4558234

Kassem Mustapha, William McLean, Kim Ngan Le

Publication date: 21 November 2018

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

Full work available at URL: https://arxiv.org/abs/1902.03204

zbMATH Keywords

stabilitynonsmooth solutionstime-dependent forcingoptimal convergence analysis

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) 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) Applications to the sciences (65Z05) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)

Related Items (8)

Efficient Galerkin finite element methods for a time-fractional Cattaneo equation ⋮ Well-posedness of time-fractional advection-diffusion-reaction equations ⋮ Jacobian spectral collocation method for spatio-temporal coupled Fokker-Planck equation with variable-order fractional derivative ⋮ Analysis of a Dilute Polymer Model with a Time-Fractional Derivative ⋮ A New Gradient Scheme of a Time Fractional Fokker–Planck Equation with Time Independent Forcing and Its Convergence Analysis ⋮ Regularity theory for time-fractional advection-diffusion-reaction equations ⋮ Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative ⋮ Uniform stability for a spatially discrete, subdiffusive Fokker-Planck equation

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