In this article, we develop a two-grid algorithm based on the mixed finite element (MFE)
method for a nonlinear fourth-order reaction–diffusion equation with the time-fractional …

In this paper we intend to establish fast numerical approaches to solve a class of initial-
boundary problem of time-space fractional convection–diffusion equations. We present a …

This paper proposes the alternating direction implicit (ADI) numerical approaches for
computing the solution of multi-dimensional distributed-order fractional integrodifferential …

This work formulates two kinds of alternating direction implicit (ADI) schemes for the
parabolic-type three-dimensional evolution equation with a weakly singular kernel. The …

High-order compact exponential finite difference scheme for solving the time fractional
convection–diffusion reaction equation with variable coefficients is considered in this paper …

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 …

In this paper, we apply the dual reciprocity boundary elements method for the numerical
solution of two‐dimensional linear and nonlinear time‐fractional modified anomalous …

In this work, we provide a compact finite-difference scheme (CFDS) of 2D time-fractional
convection–diffusion equation (TF-CDE) for solving fluid dynamics problem, especially …

In this paper, we propose a fast and efficient numerical method to solve the two-dimensional
integro-differential equation with a weakly singular kernel. The numerical method are …

In the current manuscript, we consider a generalized fractional reaction–diffusion equation.
The considered model is based on the time fractional derivative. The developed scheme is …