A Numerical Study for Solving the Systems of Fuzzy Fredholm Integral Equations of the Second Kind Using the Adomian Decomposition Method

Waleed Al-Hayani; Mahasin Thabet Younis

doi:10.24996/ijs.2023.64.7.31

Authors

Waleed Al-Hayani Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Iraq https://orcid.org/0000-0001-9918-8573
Mahasin Thabet Younis Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.7.31

Keywords:

System of fuzzy Fredholm integral equations, Fuzzy Solution, Adomian decomposition method, Adomian polynomials

Abstract

In this paper, the Adomian decomposition method (ADM) is successfully applied to find the approximate solutions for the system of fuzzy Fredholm integral equations (SFFIEs) and we also study the convergence of the technique. A consistent way to reduce the size of the computation is given to reach the exact solution. One of the best methods adopted to determine the behavior of the approximate solutions. Finally, the problems that have been addressed confirm the validity of the method applied in this research using a comparison by combining numerical methods such as the Trapezoidal rule and Simpson rule with ADM.