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
Descripción
Sumario: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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