Numerical method for solving two-dimensional nonlinear Hammerstein-Fredholm fuzzy functional integral equations

In this work, we investigate two-dimensional nonlinear Hammerstein-Fredholm fuzzy functional integral equation (2D-NHFFFIE. We propose an efficient iterative method of successive approximations by using fuzzy variant of the cubature rule of the rectangle 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.