Solving Fuzzy System of Volterra Integro-differential Equations by using Adomian Decomposition Method

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i1.4087

Keywords:

Fuzzy numbers, Fuzzy Systems of Volterra integro-differential equations, Adomian decomposition method, Modified technique, Adomian polynomials

Abstract

In this paper, the Adomian decomposition method and Modified Technique are successfully applied to find the approximate solutions of the fuzzy system of Volterra integro-differential equations. The approximate solutions obtained have been improved by using the iteration of the integral equation and the numerical solution with the Simpson rule and Trapezoidal rule. These proposed methods gave excellent results close to the exact solution. The results show that the present method is very straightforward and effective.

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Published

2022-01-31

How to Cite

Younis, M. T., & Al-Hayani, W. M. (2022). Solving Fuzzy System of Volterra Integro-differential Equations by using Adomian Decomposition Method. European Journal of Pure and Applied Mathematics, 15(1), 290–313. https://doi.org/10.29020/nybg.ejpam.v15i1.4087

Issue

Vol. 15 No. 1: (January 2022)

Section

Nonlinear Analysis

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European Journal of Pure and Applied Mathematics will be Copyright Holder.