Approximate Solution for Systems of Fuzzy Differential Equations by Variational Iteration Method

Abstract

This paper, presents a new perspective on the numerical solution of a fuzzy linear system of differential equations, where initial values and constant coefficients are fuzzy numbers. To do this, the matrix of coefficients was first decomposed into two matrices, then the variational iteration method was presented and applied to them. Afterwards, the convergence of the above mentioned method was proved. Finally, some examples are presented which confirm the applicability, accuracy, and efficiency of the method.