We propose and analyze a spectral Jacobi-collocation approximation for the linear Volterra
integral equations (VIEs) of the second kind with weakly singular kernels. In this work, we …

Multistep collocation methods for Volterra integro-differential equations are derived and
analyzed. They increase the order of convergence of classical one-step collocation …

It is the purpose of this paper to provide an acceleration of waveform relaxation (WR)
methods for the numerical solution of large systems of ordinary differential equations. The …

In this paper, the convergence analysis of the Volterra integral equation of second kind with
weakly singular kernel and pantograph delays is provided. We use some function …

In this article, our main goal is to render an idea to convert a nonlinear weakly singular
Volterra integral equation to a non‐singular one by new fractional‐order Legendre functions …

We introduce domain decomposition methods of Schwarz waveform relaxation (WR) type for
fractional diffusion-wave equations. We show that the Dirichlet transmission conditions …

The current study proposes a numerical method which solves nonlinear Fredholm and
Volterra integral of the second kind using a combination of a Newton–Kantorovich and Haar …

The aim of this paper is to establish the existence and uniqueness of the common solution
for the system of nonlinear Fredholm integral equations, nonlinear Volterra integral …

The purpose of this paper is to employ graphics processing units for the numerical solution
of large systems of weakly singular Volterra Integral Equations (VIEs), by means of …

In the present paper, a parallel-in-time discretization of linear systems of Volterra equations
of type u¯(t)= u¯ 0+∫ 0 t K (ts) u¯(s) ds+ f¯(t), 0< t≤ T, is addressed. Related to the …