Iterative numerical method for two-dimensional nonlinear Fredholm fuzzy functional integral equations

摘要

In this paper we investigate two-dimensional nonlinear Fredholm fuzzy functional integral equation (2D-NFFFIE). Our aim is to provide an efficient iterative method of successive approximations by optimal quadrature rule for classes of fuzzy number-valued functions of Lipschitz type for two-dimensional case to approximate the solution. We prove the convergence and numerical stability of the presented method with respect to the choice of the first iteration. Finally, some numerical experiment confirm the theoretical results and illustrate the accuracy of the proposed method.