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

Journal:
Journal of Integral Equations and Applications

ISSN: 0897-3962

Year of publication: 2005

Volume: 17

Issue: 1

Pages: 1-17

Type: Article

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

More publications in: Journal of Integral Equations and Applications

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Abstract

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