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A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation

Data up to Jan 2025

Published2010
Citations29
References28

Total Citations Per Year

Abstract

References (28)

The random walk's guide to anomalous diffusion: a fractional dynamics approach

2000 • 8,022 citations

Variational formulation for the stationary fractional advection dispersion equation

2005 • 746 citations

Numerical solution of the space fractional Fokker–Planck equation

2003 • 699 citations

Stochastic processes: Time evolution, symmetries and linear response

1982 • 613 citations

Deriving fractional Fokker-Planck equations from a generalised master equation

1999 • 281 citations

Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si100.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>

2005 • 250 citations

On the fractional Adams method

2009 • 223 citations

Least squares finite-element solution of a fractional order two-point boundary value problem

2004 • 222 citations

LÉVY FLIGHT SUPERDIFFUSION: AN INTRODUCTION

2008 • 194 citations

A note on the finite element method for the space-fractional advection diffusion equation

2009 • 160 citations

Numerical solutions for fractional reaction–diffusion equations

2007 • 127 citations

Fractional differential models for anomalous diffusion

2010 • 125 citations

Numerical algorithm based on Adomian decomposition for fractional differential equations

2009 • 115 citations

Numerical solution of Fokker–Planck equation with space- and time-fractional derivatives

2007 • 95 citations

Anomalous diffusion: nonlinear fractional Fokker–Planck equation

2002 • 81 citations

GENERALIZED WIENER PROCESS AND KOLMOGOROV'S EQUATION FOR DIFFUSION INDUCED BY NON-GAUSSIAN NOISE SOURCE

2005 • 80 citations

Lévy flights in external force fields: from models to equations

2002 • 78 citations

hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations

2006 • 74 citations

Generalized Fokker-Planck equation: Derivation and exact solutions

2009 • 65 citations

Fractional Brownian motions via random walk in the complex plane and via fractional derivative. Comparison and further results on their Fokker–Planck equations

2004 • 51 citations

$hp$-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems

2007 • 32 citations

The problem of analytical calculation of barrier crossing characteristics for Lévy flights

2009 • 25 citations

Discontinuous Galerkin time discretization in elastoplasticity: motivation, numerical algorithms, and applications

2002 • 24 citations

Fokker–Planck equation with fractional coordinate derivatives

2008 • 18 citations

Untitled

2001 • 16 citations

A space–time discontinuous Galerkin method for linear convection-dominated Sobolev equations

2009 • 12 citations

An optimal-order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si113.gif" overflow="scroll"><mml:mrow><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>-error estimate for nonsymmetric discontinuous Galerkin methods for a parabolic equation in multiple space dimensions

2009 • 11 citations

THE SPACE-TIME FINITE ELEMENT METHOD FOR PARABOLIC PROBLEMS

2001 • 7 citations

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