THE HOMOTOPY PERTURBED METHOD FOR VOLTERRA FUZZY INTEGRAL EQUATIONS
Abstract
In this paper, we present an efficient numerical algorithm for solutionof the two-dimensional Volterra fuzzy integral equation (2D-VFFIE) based onHe′s homotopy perturbation method (HPM). The HPM is used for determining theapproximated solution of the investigated equation. We convert 2D-VFIE to a systemof Volterra integral equation in crisp case. Hence, we obtain an approximate solutionsof this system and consequently obtain an approximation for the fuzzy solution of theVolterra fuzzy integral equation. We proof the convergence of the proposed methodand error estimation between the exact and the approximate solution.
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