In this paper we propose and analyze a fractional Jacobi-collocation spectral method for the
second kind Volterra integral equations (VIEs) with weakly singular kernel (xs)^-μ, 0< μ< 1 …

In this paper, we introduce some new definitions and more general results of fractional
spaces in order to deal with functions with endpoint singularities. Based on this theoretical …

In this paper a nonpolynomial Jacobi spectral-collocation (NJSC) method for the second
kind Fredholm integral equations (FIEs) with weakly singular kernel| s− t|− γ is proposed. By …

In this paper, we develop a fractional order spectral collocation method for solving second
kind Volterra integral equations with weakly singular kernels. It is well known that the …

Volterra integral equation of the second kind with weakly singular kernel usually exhibits
singular behavior at the origin, which deteriorates the accuracy of standard numerical …

In this paper, we introduce a multi-domain Müntz-polynomial spectral collocation method
with graded meshes for solving second kind Volterra integral equations with a weakly …

We develop and analyze an hp-version of the discontinuous Galerkin time-stepping method
for linear Volterra integral equations with weakly singular kernels. We derive a priori error …

In this paper, we develop a hybrid spectral method for the nonlinear second-kind Volterra
integral equations (VIEs) with weakly singular kernel and vanishing delays. Our main …

The main aim of this article is to provide a spectral Galerkin method based on the shifted
Chebyshev polynomial of the first kind to solve stochastic Itô–Volterra integral equations …

A Jacobi spectral collocation method is proposed for the solution of a class of nonlinear
Volterra integral equations with a kernel of the general form x^ β\,(zx)^-α\, g (y (x)) x β (zx)-α …