On a New Iterative Scheme without Memory with Optimal Eighth Order

The purpose of this paper is to derive and discuss a three-step iterative expression for solving nonlinear equations. In fact, we derive a derivative-free form for one of the existing optimal eighth-order methods and preserve its convergence order. Theoretical results will be upheld by numerical exp...

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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 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4163357/
https://www.ncbi.nlm.nih.gov/pubmed/25243222
http://dx.doi.org/10.1155/2014/727490
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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 purpose of this paper is to derive and discuss a three-step iterative expression for solving nonlinear equations. In fact, we derive a derivative-free form for one of the existing optimal eighth-order methods and preserve its convergence order. Theoretical results will be upheld by numerical experiments.
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spelling pubmed-41633572014-09-21 On a New Iterative Scheme without Memory with Optimal Eighth Order Sharifi, M. Karimi Vanani, S. Khaksar Haghani, F. Arab, M. Shateyi, S. ScientificWorldJournal Research Article The purpose of this paper is to derive and discuss a three-step iterative expression for solving nonlinear equations. In fact, we derive a derivative-free form for one of the existing optimal eighth-order methods and preserve its convergence order. Theoretical results will be upheld by numerical experiments. Hindawi Publishing Corporation 2014 2014-08-28 /pmc/articles/PMC4163357/ /pubmed/25243222 http://dx.doi.org/10.1155/2014/727490 Text en Copyright © 2014 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 New Iterative Scheme without Memory with Optimal Eighth Order
title On a New Iterative Scheme without Memory with Optimal Eighth Order
title_full On a New Iterative Scheme without Memory with Optimal Eighth Order
title_fullStr On a New Iterative Scheme without Memory with Optimal Eighth Order
title_full_unstemmed On a New Iterative Scheme without Memory with Optimal Eighth Order
title_short On a New Iterative Scheme without Memory with Optimal Eighth Order
title_sort on a new iterative scheme without memory with optimal eighth order
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4163357/
https://www.ncbi.nlm.nih.gov/pubmed/25243222
http://dx.doi.org/10.1155/2014/727490
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AT arabm onanewiterativeschemewithoutmemorywithoptimaleighthorder
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