Iterative method for numerical solution of two-dimensional nonlinear fuzzy integral equations

Abstract

In this paper, we prove the convergence of the method of successive approximations used to approximate the solution of two-dimensional nonlinear fuzzy Fredholm integral equations of the second kind. Also, we present an iterative procedure based on quadrature formula to solve such equations. The error estimation of the proposed method is given in terms of uniform and partial modulus of continuity. Finally, some numerical experiments confirm the theoretical results and illustrate the accuracy of the method.