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

  1. Herńandez, M.A. 1
  2. Salanova, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Journal of Integral Equations and Applications

ISSN: 0897-3962

Año de publicación: 2005

Volumen: 17

Número: 1

Páginas: 1-17

Tipo: Artículo

DOI: 10.1216/JIEA/1181075309 SCOPUS: 2-s2.0-84861187272 GOOGLE SCHOLAR

Otras publicaciones en: Journal of Integral Equations and Applications

Repositorio institucional: lock_openAcceso abierto Editor

Resumen

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