A finite difference method with non-uniform timesteps for fractional diffusion and diffusion-wave equations

A finite difference method with non-uniform timesteps for fractional diffusion equations

(2012) Santos B. Yuste et al.   COMPUTER PHYSICS COMMUNICATIONS

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

(2012) Kassem Mustapha et al.   NUMERICAL ALGORITHMS

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

Numerical simulations of 2D fractional subdiffusion problems

(2010) Hermann Brunner et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

(2010) Kassem Mustapha et al.   NUMERICAL ALGORITHMS

Reaction-subdiffusion model of morphogen gradient formation

(2010) S. B. Yuste et al.   PHYSICAL REVIEW E

Matrix approach to discrete fractional calculus II: Partial fractional differential equations

(2009) Igor Podlubny et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Compact finite difference method for the fractional diffusion equation

(2009) Mingrong Cui   JOURNAL OF COMPUTATIONAL PHYSICS

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

(2009) Joaquín Quintana Murillo et al.   PHYSICA SCRIPTA

Implicit finite difference approximation for time fractional diffusion equations

(2008) Diego A. Murio   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Fractional Cable Models for Spiny Neuronal Dendrites

(2008) B. I. Henry et al.   PHYSICAL REVIEW LETTERS

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

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