On a Derivative-Free Variant of King's Family with Memory

The aim of this paper is to construct a method with memory according to King's family of methods without memory for nonlinear equations. It is proved that the proposed method possesses higher R-order of convergence using the same number of functional evaluations as King's family. Numerical...

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Detalles Bibliográficos
Autores principales: Sharifi, M., Karimi Vanani, S., Khaksar Haghani, F., Arab, M., Shateyi, S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2015
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4389827/
https://www.ncbi.nlm.nih.gov/pubmed/25884033
http://dx.doi.org/10.1155/2015/514075
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author Sharifi, M.
Karimi Vanani, S.
Khaksar Haghani, F.
Arab, M.
Shateyi, S.
author_facet Sharifi, M.
Karimi Vanani, S.
Khaksar Haghani, F.
Arab, M.
Shateyi, S.
author_sort Sharifi, M.
collection PubMed
description The aim of this paper is to construct a method with memory according to King's family of methods without memory for nonlinear equations. It is proved that the proposed method possesses higher R-order of convergence using the same number of functional evaluations as King's family. Numerical experiments are given to illustrate the performance of the constructed scheme.
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spelling pubmed-43898272015-04-16 On a Derivative-Free Variant of King's Family with Memory Sharifi, M. Karimi Vanani, S. Khaksar Haghani, F. Arab, M. Shateyi, S. ScientificWorldJournal Research Article The aim of this paper is to construct a method with memory according to King's family of methods without memory for nonlinear equations. It is proved that the proposed method possesses higher R-order of convergence using the same number of functional evaluations as King's family. Numerical experiments are given to illustrate the performance of the constructed scheme. Hindawi Publishing Corporation 2015 2015-03-25 /pmc/articles/PMC4389827/ /pubmed/25884033 http://dx.doi.org/10.1155/2015/514075 Text en Copyright © 2015 M. Sharifi et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Sharifi, M.
Karimi Vanani, S.
Khaksar Haghani, F.
Arab, M.
Shateyi, S.
On a Derivative-Free Variant of King's Family with Memory
title On a Derivative-Free Variant of King's Family with Memory
title_full On a Derivative-Free Variant of King's Family with Memory
title_fullStr On a Derivative-Free Variant of King's Family with Memory
title_full_unstemmed On a Derivative-Free Variant of King's Family with Memory
title_short On a Derivative-Free Variant of King's Family with Memory
title_sort on a derivative-free variant of king's family with memory
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4389827/
https://www.ncbi.nlm.nih.gov/pubmed/25884033
http://dx.doi.org/10.1155/2015/514075
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