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 …

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 …

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 …

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 …

We propose and analyze a time-stepping Crank-Nicolson (CN) alternating direction implicit
(ADI) scheme combined with an arbitrary-order orthogonal spline collocation (OSC) …

In this work, an efficient alternating direction implicit (ADI) finite difference scheme is
proposed to solve the three-dimensional time-fractional telegraph equation. The fully …

In the current manuscript, we consider a fractional partial integro-differential equation that is
called fractional evolution equation. The fractional evolution equation is based on the …

In this work, we propose and analyze a new method for the solution of the three-dimensional
evolutionary equation with a nonlocal term. Then the method combines Galerkin finite …

In this paper, we propose an efficient numerical scheme for the approximate solution of a
time fractional diffusion-wave equation with reaction term based on cubic trigonometric basis …