Numerical solution of nonlinear fuzzy Fredholm integral equations using iterative method

Numerical solution of two-dimensional nonlinear Hammerstein fuzzy integral equations based on optimal fuzzy quadrature formula

“…where M 0 ≥ 0 is given in (13). In addition, the sequence of successive approximations (10) is uniformly bounded and the solution F * is bounded too.…”

“…In [10,25] authors presented sufficient conditions for bounded solutions of fuzzy integral equations. In [13] a numerical method to solve nonlinear fuzzy integral equations was proposed. Bica and Popescu introduced a numerical method to approximate solution of nonlinear Hammerstein fuzzy integral equations.…”

New error estimate in the iterative numerical method for nonlinear fuzzy Hammerstein–Fredholm integral equations

“…Up to present, these methods apply quadrature formulas (see [17], [18]), Nyström techniques (see [1]), Adomian decomposition (see [2], [5]), iterative techniques and successive approximations (see [8], [9], [10], [14], [15], [17] and [29]). In other numerical methods for fuzzy integral equations are involved Bernstein polynomials (see [13] and [27]), Galerkin techniques (see [23]), Lagrange interpolation (see [16]), homotopy analysis (see [24]), homotopy perturbation (see [22]), divided and finite differences (see [28]), Legendre (see [32]) and Haar wavelets (see [35]).…”

The numerical solution of nonlinear Hammerstein fuzzy integral equations by using fuzzy wavelet like operator

“…Recently, Bica et al [16] developed an iterative numerical method that solves NHFIE with constant delay. For other works, see [2,6,7,9,19,20,29,30,32,33,36,37,41].…”