Numerical solution of the space fractional Fokker-Planck equation
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the international conference on boundary and interior layers - computational and asymptotic methods (BAIL 2002)
Finite difference approximations for fractional advection-dispersion flow equations
Journal of Computational and Applied Mathematics
SIAM Journal on Numerical Analysis
The accuracy and stability of an implicit solution method for the fractional diffusion equation
Journal of Computational Physics
Weighted average finite difference methods for fractional diffusion equations
Journal of Computational Physics
Time fractional IHCP with Caputo fractional derivatives
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
Fractional diffusion equations by the Kansa method
Computers & Mathematics with Applications
Explicit and implicit finite difference schemes for fractional Cattaneo equation
Journal of Computational Physics
A direct O(Nlog2N) finite difference method for fractional diffusion equations
Journal of Computational Physics
Computers & Mathematics with Applications
A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions
Journal of Computational Physics
Numerical approximations for fractional diffusion equations via splines
Computers & Mathematics with Applications
Implicit difference approximation for the time fractional heat equation with the nonlocal condition
Applied Numerical Mathematics
Multigrid method for fractional diffusion equations
Journal of Computational Physics
A New Regularization Method for the Time Fractional Inverse Advection-Dispersion Problem
SIAM Journal on Numerical Analysis
A new regularization method for a Cauchy problem of the time fractional diffusion equation
Advances in Computational Mathematics
Journal of Computational Physics
Finite Elements in Analysis and Design
Boundary particle method for Laplace transformed time fractional diffusion equations
Journal of Computational Physics
Applied Numerical Mathematics
A circulant preconditioner for fractional diffusion equations
Journal of Computational Physics
Preconditioned iterative methods for fractional diffusion equation
Journal of Computational Physics
Applied Numerical Mathematics
Fully discrete local discontinuous Galerkin method for solving the fractional telegraph equation
Calcolo: a quarterly on numerical analysis and theory of computation
Hi-index | 0.13 |
Time fractional diffusion equations are used when attempting to describe transport processes with long memory where the rate of diffusion is inconsistent with the classical Brownian motion model. In this paper we develop an implicit unconditionally stable numerical method to solve the one-dimensional linear time fractional diffusion equation, formulated with Caputo's fractional derivative, on a finite slab. Several numerical examples of interest are also included.