Numerical treatment of the nonlinear Fredholm integral equation by Newton-Kantorovich method

Abstract

In this work, we apply the Newton-Kantorovich method to solve the nonlinear Fred holm integral equation, we look for an approximate solution for nonlinear Fredholm integral equation of the second kind using a combination between Newton-Kantorovich method and modiÖed Simpson method, then we give numerical results of some exampls which are solving by this combination.