A numerical approach to the generalized nonlinear fractional Fokker-Planck equation

DOI10.1016/J.CAMWA.2012.01.067zbMath1268.65140OpenAlexW2009548753MaRDI QIDQ356302

Zhengang Zhao, Changpin Li

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.01.067

zbMATH Keywords

Riemannfractional finite element methodLévy flightLiouville derivativenonlinear fractional FokkerPlanck equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)

Related Items (8)

Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis ⋮ Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation ⋮ A backward euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation ⋮ A Jacobi Gauss-Lobatto and Gauss-Radau collocation algorithm for solving fractional Fokker-Planck equations ⋮ Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods ⋮ Implicit Runge-Kutta and spectral Galerkin methods for the two-dimensional nonlinear Riesz space fractional diffusion equation ⋮ Fractional difference/finite element approximations for the time-space fractional telegraph equation ⋮ Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs

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