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

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

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

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

A finite difference method for an anomalous sub-diffusion equation, theory and applications

(2012) Kassem Mustapha et al.   NUMERICAL ALGORITHMS

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

(2012) Mingrong Cui   NUMERICAL ALGORITHMS

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

Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation

(2011) Chang-Ming Chen et al.   MATHEMATICS OF COMPUTATION

A class of discontinuous Petrov–Galerkin methods. Part I: The transport equation

(2010) L. Demkowicz et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

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

A compact finite difference scheme for the fractional sub-diffusion equations

(2010) Guang-hua Gao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

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

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

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