On Data Dependency and Solutions of Nonlinear Fredholm Integral Equations with the Three-Step Iteration Method

Year 2023, Volume: 5 Issue: 2, 53 - 64, 20.11.2023

Lale Cona Kadir Şengül

https://doi.org/10.54286/ikjm.1303219

Abstract

In this study, the solution of the second type of homogeneous nonlinear Fredholm integral equations is investigated using a three-step iteration algorithm. In other words, it has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations. Also, data dependency is obtained for the second type of homogeneous nonlinear Fredholm integral equations and this result is supported by an example.

Keywords

Banach Fixed Point Theorem, Nonlinear Fredholm Integral Equations, Three-Step Iteration Method, Data Dependency

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