Archive | 2021
Solving nonlinear Volterra-Fredholm fuzzy integro-differential equations by using Adomian decomposition method
Abstract
In this paper, we find approximate solution of the nonlinear Volterra-Fredholm fuzzy integro-differential equation (NVF-FIDE) by using Adomian decomposition method (ADM). We convert this equation to a nonlinear system of Volterra-Fredholm integro-differential equations in crisp case and find an approximate solution of this system. Hence, we obtain an approximation for the fuzzy solution of the nonlinear Volterra-Fredholm fuzzy integro-differential equation. A numerical example is given to demonstrate the validity and applicability of the proposed technique.