How to Obtain Global Convergence Domains via Newton’s Method for Nonlinear Integral Equations-Reference-Cited by-同舟云学术

How to Obtain Global Convergence Domains via Newton’s Method for Nonlinear Integral Equations

Published:2019-06-17 Issue:6 Volume:7 Page:553
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Ezquerro José Antonio^ORCID,Hernández-Verón Miguel Ángel

Abstract

We use the theoretical significance of Newton’s method to draw conclusions about the existence and uniqueness of solution of a particular type of nonlinear integral equations of Fredholm. In addition, we obtain a domain of global convergence for Newton’s method.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/7/6/553/pdf

Reference8 articles.

1. A numerical method for solving nonlinear integral equations;Awawdeh;Int. Math. Forum,2009

2. Adapted Newton-Kantorovich Methods for Nonlinear Integral Equations

3. Solving nonlinear integral equations in the Urysohn form by Newton-Kantorovich-quadrature method;Saberi-Nadja;Comput. Math. Appl.,2010

4. Functional Equations and Nemytskii Operators;Matkowski;Funkc. Ekvacioj,1982

5. Iterative Approximation of Fixed Point;Berinde,2005

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Location, separation and approximation of solutions of nonlinear Hammerstein-type integral equations;Applied Numerical Mathematics;2024-04

2. A FIXED-POINT TYPE RESULT FOR SOME NON-DIFFERENTIABLE FREDHOLM INTEGRAL EQUATIONS;Mathematical Modelling and Analysis;2024-02-23

3. Global convergence of improved Chebyshev-Secant type methods;The Journal of Analysis;2023-12-23

4. Global convergence domains for an efficient fifth order iterative scheme;Journal of Mathematical Chemistry;2023-09-04

5. Kurchatov-type methods for non-differentiable Hammerstein-type integral equations;Numerical Algorithms;2022-09-23