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

Detalles Bibliográficos
Autores: Herńandez, M.A. [0000-0001-5478-2958], Salanova, M.A.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc69fbb750603269e824e0
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc69fbb750603269e824e0
Access Level:acceso abierto
Palabra clave:Fredholm integral equation
Iterative method
Newtonlike method
Descripción
Sumario: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