This paper presents a numerical method for solving a certain class of Fredholm integral
equations of the first kind, whose unknown function is singular at the end-points of the …

In this study, we applied an advanced barycentric Lagrange interpolation formula to find the
interpolate solutions of weakly singular Fredholm integral equations of the second kind. The …

This paper considers efficient spectral solutions for weakly singular nonlocal diffusion
equations with Dirichlet-type volume constraints. The equation we consider contains an …

Projection methods are applied to obtain the convergence rates for Volterra integral
equations with weakly singular kernels. We consider Galerkin and multi Galerkin methods …

The solution of initial, boundary, and mixed value problems through the integral equation
method yields certain boundary singular integral equations. In many scientific and industrial …

In this article, we consider a class of derivative dependent Fredholm-Hammerstein integral
equations ie, the integral equation, where the nonlinear function inside the integral sign is …

In this article, we apply Legendre spectral Galerkin, Legendre spectral multi-projection
methods and their iterated versions to find the approximate solution of m th order Fredholm …

In this paper, Galerkin, multi-Galerkin methods and their iterated versions are developed for
solving the system of linear Fredholm integral equations of the second kind for both smooth …

In this article, we look at a class of two-point nonlinear boundary value problems and
transform this into derivative-dependent Fredholm–Hammerstein integral equations, ie, the …

In this paper, a simple scheme is constructed for finding approximate solution of the
nonlinear Fredholm integral equation of the second kind. To this end, the Lagrange …