In this paper, we propose an effective numerical method to solve the one-and two-
dimensional time-fractional convection-diffusion equations based on the Caputo derivative …

This article deals with designing and analyzing a higher order stable numerical analysis for
the time‐fractional Kuramoto–Sivashinsky (K‐S) equation, which is a fourth‐order non …

In this paper, a second-order numerical scheme is developed and analyzed to approximate
the solution of a class of time-fractional Volterra integro-differential equations with a weakly …

In this paper, the difference potentials method-based ADI finite difference scheme is
proposed for numerical solutions of two-dimensional nonlinear convection–diffusion …

The numerical solution of time fractional parabolic differential equations with singular
perturbations and delay is the subject of this article. An arbitrarily small perturbation …

In this work, we analyze and develop an efficient numerical scheme for the Lotka–Volterra
competitive population dynamics model involving fractional derivative of order α∈(0, 1). The …

This article presents two efficient layer-adaptive numerical schemes for a class of time-
fractional advection-diffusion equations with a large time delay. The fractional derivative of …

This article compares two efficient numerical schemes for solving time-fractional subdiffusion
equations. The fractional derivative is taken in the Caputo sense of order α∈(0, 1). The …

In this work, a time-fractional nonlocal diffusion equation is considered. Based on the L2-1 σ
scheme on a graded mesh in time and the standard finite element method (FEM) in space …

The main focus of this work is to develop and implement an efficient lo-cal discontinuous
Galerkin scheme for acquiring the numerical solution of the (1+ 1)-dimensional nonlinear …