In this paper, we focus on fast solvers with linearithmic complexity in space for high-
dimensional time-fractional subdiffusion equations. Firstly, we present two alternating …

This article aims to fill in the gap of the second-order accurate schemes for the time-
fractional subdiffusion equation with unconditional stability. Two fully discrete schemes are …

Fractional diffusion equations model phenomena exhibiting anomalous diffusion that cannot
be modeled accurately by second-order diffusion equations. Because of the nonlocal …

Fractional diffusion equations model phenomena exhibiting anomalous diffusion that cannot
be modeled accurately by second-order diffusion equations. Because of the non-local …

In this paper, a compact finite difference scheme for the fractional sub-diffusion equations is
derived. After a transformation of the original problem, the L1 discretization is applied for the …

In this paper, we devote to the study of high order finite difference schemes for one-and two-
dimensional time–space fractional sub-diffusion equations. A fourth order finite difference …

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 …

Fractional diffusion equations model phenomena exhibiting anomalous diffusion that cannot
be modeled accurately by the classical second-order diffusion equations. Because of the …

New numerical techniques are presented for the solution of a two-dimensional anomalous
sub-diffusion equation with time fractional derivative. In these methods, standard central …

Fractional sub-diffusion equations have been widely used to model sub-diffusive systems.
Most algorithms are designed for one-dimensional problems due to the memory effect in …