HAFFAF, NadaSupervisor: GUECHI, Somia2022-07-062022-07-062022-06-10http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/30048In 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.enÖxed point theorems, modiÖed Simpson method, Newton-Kantorovich method, Fredholm integral equation.Thesis