The purpose of this paper is to investigate a space-time Sinc-collocation method for solving
the fourth-order nonlocal heat model arising in viscoelasticity, which is a class of partial …

In this paper, a high-order and efficient numerical technique is constructed to solve nonlocal
neutron diffusion equation with delayed neutrons representing neutron transport in a nuclear …

In this paper, an implicit robust difference method with graded meshes is constructed for the
modified Burgers model with nonlocal dynamic properties. The L1 formula on graded …

This paper studies an accurate localized meshless collocation approach for solving two-
dimensional nonlinear integro-differential equation (2D-NIDE) with multi-term kernels. The …

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 …

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

In this paper, the H 2 N 2 method and compact finite difference scheme are proposed for the
fourth-order time-fractional diffusion-wave equations. In order to improve the efficiency of …

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) …

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 …

This paper formulates a third-order backward differentiation formula (BDF3) fourth-order
compact difference scheme based on a developed fourth-order operator for computing the …