Adomian Decomposition Method for Solving Initial Value Problem for Fuzzy Integro-differential Equation with An Application in Volterra's Population Model

摘要

This paper deals with the fuzzy integro-differential equation by using Adomian decomposition method (ADM). Using α-cuts of fuzzy numbers we convert a fuzzy integro-differential equation to a system of integro-differential equation in crisp case. We use ADM to find the approximate solution of the system and hence obtain an approximate solution of the fuzzy integro-differential. Moreover some examples have been chosen to illustrate the method and by comparing the numerical solutions with the exacts solution, we have studies their accuracy. We have modified the Volterra's Population Model into new fuzzy Volterra's Population Model. Also application of the proposed method is given in this new fυzzy Volterra's Population Model.