The aim of this research is to apply the stochastic arithmetic (SA) for validating the Sinc-
collocation method (S-CM) with single or double exponentially decay to find the numerical …

In this paper, we introduce and analyse Nyström-quasilinearization method for the numerical
solution of nonlinear weakly singular Fredholm integral equations of the second kind. Under …

In the current study, a fast, accurate, and reliable numerical scheme for approximating
second-kind nonlinear Fredholm, Volterra, and Fredholm-Volterra integral equations with a …

A novel iterative method based on Picard iterations and Berstein polynomials is proposed
for solving weakly singular and fractional Fredholm integral equations. On a uniform mesh …

In this paper, two numerical schemes for a nonlinear integral equation of Fredholm type with
weakly singular kernel are proposed. These numerical methods combine sinc-collocation …

In this paper, a double-exponential (DE) Sinc Nyström method is utilized to solve nonlinear
two-dimensional Fredholm integral equations of the second kind. Using the DE …

In the present paper we use the generalized Euler-Maclaurin summation formula to study
the convergence and to solve weakly singular Fredholm and Volterra integral equations …

This paper aims to propose an efficient and fast iterative method to solve the nonlinear
Fredholm integral equations of the second kind (NFIE-2). For this starting point, we discretize …

A numerical method for solving Fredholm and Volterra integral equations of the second kind
is presented. The method is based on the use of the Newton–Cotes quadrature rule and …

In the present paper, we propose a method to solve a class of weakly singular Fredholm
integral equations of the second kind in reproducing kernel spaces. The Taylor series of the …