On a numerical investigation of the time fractional Fokker– Planck equation via local discontinuous Galerkin method

DOI10.1080/00207160.2016.1247442zbMath1417.65169OpenAlexW2531429468MaRDI QIDQ3174874

Hojatollah Adibi, Saeed Kazem, Jafar Eshaghi

Publication date: 18 July 2018

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2016.1247442

zbMATH Keywords

stabilityMittag-Leffler functionconvergenceCaputo derivativelocal discontinuous Galerkin methodtime-fractional Fokker-Planck equation

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) Mittag-Leffler functions and generalizations (33E12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)

Related Items (3)

On the solution of a Riesz space-fractional nonlinear wave equation through an efficient and energy-invariant scheme ⋮ Numerical approximation of the first-passage time distribution of time-varying diffusion decision models: a mesh-free approach ⋮ Local discontinuous Galerkin methods for the time tempered fractional diffusion equation

Uses Software

• FODE
• FracPECE

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