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

Authors : Lale Cona, Kadir Şengül

Pages : 53-64

Doi:10.54286/ikjm.1303219

View : 55 | Download : 73

Publication Date : 2023-11-20

Article Type : Research Paper

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