Changpin Li

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

In this paper, two finite difference/element approaches for the time-fractional subdiffusion equation with Dirichlet boundary conditions are developed, in which the time direction is approximated by the fractional linear multistep method and the space direction is approximated by the finite element method. The two methods are unconditionally stable and convergent of order

A CRANK-NICOLSON ADI SPECTRAL METHOD FOR A TWO-DIMENSIONAL RIESZ SPACE FRACTIONAL NONLINEAR REACTION-DIFFUSION EQUATION ∗

O(\tau^q+h^{r+1})

Spectral approximations to the fractional integral and derivative

in the

Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy

L^2

Analysis of Fractional Dynamic Systems

norm, where

A survey on the stability of fractional differential equations

q=2-\beta

Introduction to fractional integrability and differentiability

or 2 when the analytical solution to the subdiffusion equation is sufficiently smooth,

The use of finite difference/element approaches for solving the time-fractional subdiffusion equation

\beta\,(0<\beta<1)

Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy

is the order of the fractional derivative,

A Crank--Nicolson ADI spectral method for a two-dimensional riesz space fractional nonlinear reaction-diffusion equation

\tau