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 …

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

A difference method for the numerical integration of a nonlinear partial integrodifferential
equation is considered. The integral term is treated by means of a convolution quadrature …

We study the numerical solution of an initial-boundary value problem for a Volterra type
integro-differential equation, in which the integral operator is a convolution product of a …

The object of this paper is to investigate the convergence of finite-element approximations to
solutions of parabolic and hyperbolic integrodifferential equations, and also of equations of …

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 present a time two-grid algorithm based on the finite difference (FD)
method for the two-dimensional nonlinear time-fractional mobile/immobile transport model …

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 studies finite-element approximations to the solutions of the nonlinear diffusion
equations with memory. An elliptic projection with memory associated with our equations is …