In this paper, we consider the numerical solutions of the multi-dimensional tempered
fractional integrodifferential equation. First, the second-order backward differentiation …

This work constructs and analyzes a nonlocal evolution equation with a weakly singular
kernel in three-dimensional space. In the temporal direction, the Crank-Nicolson (CN) …

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

This article proposes the fast L1 alternating direction implicit (ADI) finite difference and
compact difference schemes to solve the fractional telegraph equation in three-dimensional …

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 …

This paper adopts an accurate and robust algorithm for the nonlocal heat equation having a
weakly singular kernel in three dimensions. The proposed method approximates 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 article, we investigate and analyze new methods for the numerical solution of the
three-dimensional nonlocal evolution problem arising in viscoelastic mechanics. Then these …

In this paper, we investigate the numerical solution of the three‐dimensional (3D) nonlinear
tempered fractional integrodifferential equation which is subject to the initial and boundary …

In this study, an efficacious method for solving viscoelastic dynamic plates in the time
domain is proposed for the first time. The differential operator matrices of different orders of …