A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations and its efficient implementation

(2013) Hong Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations

(2013) Hong Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fractional Pearson diffusions

(2013) Nikolai N. Leonenko et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations

(2013) Kassem Mustapha et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Wellposedness of Variable-Coefficient Conservative Fractional Elliptic Differential Equations

(2013) Hong Wang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

(2013) Fanhai Zeng et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Numerical simulation for two-dimensional Riesz space fractional diffusion equations with a nonlinear reaction term

(2013) Fawang Liu et al.   Open Physics

FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

(2012) CHANGPIN LI et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

A Fast Finite Difference Method for Two-Dimensional Space-Fractional Diffusion Equations

(2012) Hong Wang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Spectral approximations to the fractional integral and derivative

(2012) Changpin Li et al.   Fractional Calculus and Applied Analysis

Hitchhikerʼs guide to the fractional Sobolev spaces

(2011) Eleonora Di Nezza et al.   BULLETIN DES SCIENCES MATHEMATIQUES

Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion

(2011) Changpin Li et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Uniform convergence for a discontinuous Galerkin, time-stepping method applied to a fractional diffusion equation

(2011) K. Mustapha et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

An O(N log2N) alternating-direction finite difference method for two-dimensional fractional diffusion equations

(2011) Hong Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Developing Finite Element Methods for Maxwell's Equations in a Cole–Cole Dispersive Medium

(2011) Jichun Li et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A direct O(Nlog2N) finite difference method for fractional diffusion equations

(2010) Hong Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation

(2010) Kassem Mustapha et al.   NUMERICAL ALGORITHMS

Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

(2009) R. Lin et al.   APPLIED MATHEMATICS AND COMPUTATION

Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term

(2009) F. Liu et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A Space-Time Spectral Method for the Time Fractional Diffusion Equation

(2009) Xianjuan Li et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

(2009) P. Zhuang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Finite Element Method for the Space and Time Fractional Fokker–Planck Equation

(2008) Weihua Deng   SIAM JOURNAL ON NUMERICAL ANALYSIS

Anomalous diffusion expressed through fractional order differential operators in the Bloch–Torrey equation

(2007) Richard L. Magin et al.   JOURNAL OF MAGNETIC RESONANCE