A Comparison of Fuzzy Membership Numbers on the Convergence of Numerical Approaches to Solving Integro-Differential Equations

Abstract

In this article examines the convergences stability of Variational Iteration Method (VIM) for solving Fuzzy Volterra Integro-Differential Equations (FVIDE) of second kind under the Seikkala derivative [13]. The advantage of the proposed method in this study compared with Adomian decomposition Method (ADM). The undefined variables are represented by membership values in trapezoids and triangles. The results of the two methods are compared to demonstrate the efficacy of fuzzy numbers in terms of increasing membership values.