The application of an inverse-free Jarratt type approximation to nonlinear integral equations of Hammerstein type

  1. Ezquerro, J.A. 1
  2. Gutiérrez, J.M. 1
  3. Hernández, M.A. 1
  4. Salanova, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Computers & Mathematics with Applications

ISSN: 0898-1221

Year of publication: 1998

Volume: 36

Issue: 4

Pages: 9-20

Type: Article

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SCOPUS: 2-s2.0-0032142291 WoS: WOS:000075398600002 GOOGLE SCHOLAR

More publications in: Computers & Mathematics with Applications

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Abstract

We consider an inverse-free Jarratt-type approximation, whose order of convergence is four, for solving nonlinear equations. The convergence of this method is analysed under two different types of conditions. We use a new technique based on constructing a system of real sequences. Finally, this method is applied to the study of Hammerstein's integral equations. © 1998 Elsevier Science Ltd. All rights reserved.