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

Year 2024, Volume: 42 Issue: 1, 245 - 251, 27.02.2024

Lale Cona , Kadir Şengül

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

References

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