Solving Fuzzy System of Volterra Integral Equations by using Adomian Decomposition Method

Abstract

The aim of this research is to propose a fuzzy system for solving

linear and non-linear Volterra integral equations using the Adomian

decomposition method, along with a corresponding numerical

scheme. We examine various numerical aspects, including

convergence and error analysis, and illustrate the method's

effectiveness through examples solved using both the classic

Adomian analysis method and numerical solutions with

Trapezoidal and Simpson rules. Our findings demonstrate the

method's clarity and effectiveness.

Finally, the accuracy and applicability of the method is

implemented along with comparisons using some numerical

examples.