This paper develops an efficient local meshless collocation algorithm for approximating the
time fractional evolution model that is applied for the modeling of heat flow in materials with …

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

A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-
differential equation with a weakly singular kernel is of concern in this paper. The scheme is …

This paper develops the solution of the two-dimensional time fractional evolution model
using finite difference scheme derived from radial basis function (RBF-FD) method. In this …

We establish the well-posedness of an hp-version time-stepping discontinuous Galerkin
method for the numerical solution of fractional superdiffusion evolution problems. In …

New numerical techniques are presented for the solution of the two-dimensional fractional
diffusion-wave equation with a time fractional derivative of order α (1< α< 2). In these …

The positive definiteness of real quadratic forms with convolution structures plays an
important role in stability analysis for time-stepping schemes for nonlocal operators. In this …

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 …

Recently, numerous numerical schemes have been developed for solving single-term time-
space fractional diffusion-wave equations. Among them, some popular methods were …