Solutions of linear Fredholm integral equations with the three-step iteration method

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:42 Issue:1
Solutions of linear Fredholm integral equations with the three-step iteration method

Solutions of linear Fredholm integral equations with the three-step iteration method

Authors : Lale Cona, Kadir Şengül

Pages : 245-251

View : 53 | Download : 72

Publication Date : 2024-02-27

Article Type : Research Paper

Abstract :In this article, the solution of the second type of nonhomogeneous linear Fredholm integral equations is investigated using a three-step iteration algorithm. It has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations. Morever, data dependency is obtained for the second type of nonhomogeneous linear Fred-holm integral equations. This result is supported by an example.
Keywords : Banach Fixed Point Theorem, Data Dependency, Fredholm Integral Equations, Three Step Iteration Method

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