A Newton-like iterative process for the numerical solution of Fredholm nonlinear integral equations.

In this paper, we give a semi-local convergence result for an iterative process of Newton-Kantorovich-type to solve nonlinear integral equations of Fredholm type and second kind. We also illustrate with several examples the technique for constructing a functional sequence that approaches solutions

Bibliographic Details
Authors: Herńandez, M.A. [0000-0001-5478-2958], Salanova, M.A.
Format: article
Status:Published version
Publication Date:2005
Country:España
Institution:Universidad de La Rioja (UR)
Repository:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc69fbb750603269e824e0
Online Access:https://investigacion.unirioja.es/documentos/5bbc69fbb750603269e824e0
Access Level:Open access
Keyword:Fredholm integral equation
Iterative method
Newtonlike method
Description
Summary:In this paper, we give a semi-local convergence result for an iterative process of Newton-Kantorovich-type to solve nonlinear integral equations of Fredholm type and second kind. We also illustrate with several examples the technique for constructing a functional sequence that approaches solutions