In this article, we present an efficient numerical algorithm, which combines the fourth-order
compact difference scheme (CDS) in space with the fast time two-mesh (TT-M) FBN-θ …

In this paper, we construct a high order difference scheme for two-dimensional semilinear
fractional sub-diffusion equations at first. To reduce the computation time, an efficient time …

In this work, we consider a Sinc-collocation method for solving the fourth-order partial
integro-differential equation with the multi-term kernels. In the temporal direction, the time …

In this paper, based on the developed nonlinear fourth-order operator and method of order
reduction, a novel fourth-order compact difference scheme is constructed for the mixed-type …

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

In this paper, we shall present the alternating direction implicit (ADI) Galerkin finite element
method (FEM) for solving the distributed-order time-fractional mobile–immobile equation in …

This paper focusses on the numerical technique based on a localized meshless collocation
method for approximating the Burgers-type equation in two dimensions. The method uses …

Three alternating direction implicit (ADI) finite element Galerkin methods for solving two-
dimensional tempered fractional integro-differential equations are formulated and analyzed …

The main aim of this paper is to solve the two-dimensional nonlinear fractional partial integro-
differential equation (PIDE) with a weakly singular kernel by using the time two-grid finite …