NON-LINEAR FINITE LEVEL FUZZY VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND USING DISCRETE ADOMIAN DECOMPOSITION METHOD

In this paper, the solution of finite level fuzzy nonlinear volterra integral equations of the second kind, was introduced using the Adomian Decomposition method (ADM). For this cases evolution of integrals analytically are impossible the decomposition method can not be applie[20,21,22]d. In this paper a discretized version of the Adomian Decomposition method is introduced and this method is called Discrete Decomposition method (DADM). DADM arises when the quadrature rule are used to approximate the definite integrals which cannot be computed analytically. The DADM gives the numerical solution at nodes used in the quadrature rules. Several numerical example are given and by comparing the numerical results obtained from DADM and ADM with the exact solution and calculate the absolute error. We studied their accuracy.