The fractional reaction-diffusion equation has an important physical and theoretical
meaning, but its analytical solution poses considerable problems. This paper develops an …

An efficient numerical scheme is presented to solve a time-fractional reaction–diffusion
(TFRD) model with Caputo temporal–fractional derivative. The L 1 scheme is employed to …

We consider time-space fractional reaction diffusion equations in two dimensions. This
equation is obtained from the standard reaction diffusion equation by replacing the first order …

In this letter, we consider the numerical approximation of a two-dimensional distributed-
order time–space fractional reaction–diffusion equation. The time-and space-fractional …

In this article, a finite difference/finite element algorithm, which is based on a finite difference
approximation in time direction and finite element method in spatial direction, is presented …

The aim of this paper is to develop an accurate discretization technique to solve a class of
variable-order fractional (VOF) reaction-diffusion problems. In the spatial direction, the …

A new numerical algorithm has been investigated for solving time fractional reaction–
subdiffusion equation. The fractional derivative of the considered equation is described in …

This paper is concerned with the development of a high order numerical technique for
solving time‐fractional reaction–diffusion equation. The fractional derivative in the governing …

A time-stepping L1 scheme for subdiffusion equation with a Riemann--Liouville time
fractional derivative is developed and analyzed. This is the first paper to show that the L1 …

In this paper, a local compact integrated radial basis function (CIRBF) method is proposed to
solve the time fractional convection–diffusion–reaction equations. The proposed CIRBF …