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 …

This paper addresses the numerical solution of the three-dimensional nonlocal evolution
equation with a weakly singular kernel. The first order fractional convolution quadrature …

This paper addresses the numerical solution of the multi-dimensional variable-order
fractional integro-partial differential equations. The upwind scheme and a piecewise linear …

In this paper, we investigate the possible treatment of a class of fractional-order delay
differential equations. In delay differential equations, the evolution of the state depends on …

The paper constructs a fast efficient numerical scheme for the nonlocal evolution equation
with three weakly singular kernels in three-dimensional space. In the temporal direction, We …

In this paper, a new collocation method based on the Pell–Lucas polynomials is presented
to solve the parabolic-type partial Volterra integro-differential equations. According to the …

This manuscript deals with a novel hybrid spectral collocation approach to find the
approximate solutions of a class of nonlinear partial differential equations of parabolic type …

In this research study, a novel computational algorithm for solving a second-order singular
functional differential equation as a generalization of the well-known Lane–Emden and …

This paper deals with proposing an approximate solution for the well-known Burgers
equation as a canonical model of various fields of science and engineering. Our novel …

We study the space-time finite element discretizations for time fractional parabolic integro-
differential equations in a bounded convex polygonal domain in R^ d (d= 1, 2, 3) R d (d= 1 …