A fully discrete discontinuous Galerkin method for nonlinear fractional Fokker-Planck equation
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Publication:613806
DOI10.1155/2010/279038zbMath1202.65157OpenAlexW2028722909WikidataQ58652986 ScholiaQ58652986MaRDI QIDQ613806
Yunying Zheng, Zhengang Zhao, Changpin Li
Publication date: 23 December 2010
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/230080
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fokker-Planck equations (35Q84)
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Cites Work
- An optimal-order \(L^2\)-error estimate for nonsymmetric discontinuous Galerkin methods for a parabolic equation in multiple space dimensions
- Numerical solution of Fokker-Planck equation with space- and time-fractional derivatives
- Numerical solutions for fractional reaction-diffusion equations
- Numerical algorithm based on Adomian decomposition for fractional differential equations
- Generalized Fokker-Planck equation: derivation and exact solutions
- On the fractional Adams method
- A note on the finite element method for the space-fractional advection diffusion equation
- A space-time discontinuous Galerkin method for linear convection-dominated Sobolev equations
- Numerical solution of the space fractional Fokker-Planck equation.
- Fractional Brownian motions via random walk in the complex plane and via fractional derivative. Comparison and further results on their Fokker-Planck equations
- Least squares finite-element solution of a fractional order two-point boundary value problem
- Discontinuous Galerkin time discretization in elastoplasticity: Motivation, numerical algorithms, and applications
- Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in \(\mathbb R^2\)
- $hp$-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems
- LÉVY FLIGHT SUPERDIFFUSION: AN INTRODUCTION
- hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations
- Variational formulation for the stationary fractional advection dispersion equation
- The space-time finite element method for parabolic problems
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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