Time-stepping discontinuous Galerkin methods for fractional diffusion problems

A Discontinuous Petrov--Galerkin Method for Time-Fractional Diffusion Equations

(2014) K. Mustapha et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Well-posedness of hp-version discontinuous Galerkin methods for fractional diffusion wave equations

(2013) K. Mustapha et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

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

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

Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations

(2013) Bangti Jin et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation

(2012) Mingrong Cui   NUMERICAL ALGORITHMS

Fast Summation by Interval Clustering for an Evolution Equation with Memory

(2012) William McLean   SIAM JOURNAL ON SCIENTIFIC COMPUTING

REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION

(2011) WILLIAM MCLEAN   ANZIAM JOURNAL

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

A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions

(2011) Xuan Zhao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation

(2011) Ya-nan Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

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

Compact alternating direction implicit method for two-dimensional time fractional diffusion equation

(2011) Mingrong Cui   JOURNAL OF COMPUTATIONAL PHYSICS

An $hp$-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type

(2011) K. Mustapha et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements

(2010) K. Mustapha   IMA JOURNAL OF NUMERICAL ANALYSIS

An Explicit Difference Method for Solving Fractional Diffusion and Diffusion-Wave Equations in the Caputo Form

(2010) Joaquín Quintana Murillo et al.   Journal of Computational and Nonlinear Dynamics

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

(2010) Kassem Mustapha et al.   NUMERICAL ALGORITHMS

Stability and convergence of an implicit numerical method for the non-linear fractional reaction-subdiffusion process

(2009) P. Zhuang et al.   IMA JOURNAL OF APPLIED MATHEMATICS

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

Compact finite difference method for the fractional diffusion equation

(2009) Mingrong Cui   JOURNAL OF COMPUTATIONAL PHYSICS

Discontinuous Galerkin method for an evolution equation with a memory term of positive type

(2009) Kassem Mustapha et al.   MATHEMATICS OF COMPUTATION

Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation

(2009) Chang-Ming Chen et al.   NUMERICAL ALGORITHMS

On three explicit difference schemes for fractional diffusion and diffusion-wave equations

(2009) Joaquín Quintana Murillo et al.   PHYSICA SCRIPTA

Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation

(2008) William McLean et al.   NUMERICAL ALGORITHMS

New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation

(2008) P. Zhuang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS