In this paper, we propose an iterative procedure based on quadrature formula to solve two-dimensional nonlinear Fredholm integral equations of the second kind. The uniqueness of the solution and the error estimation of the proposed method are presented. Also, the convergence of the approximate and the numerical stability are proved in detail. Finally, some numerical experiments confirm the theoretical results and illustrate the accuracy of the method.

two-dimensional nonlinear Fredholm integral equations, quadrature formula, iterative method, numerical solution.