Efficient Four-Parametric with-and-without-Memory Iterative Methods Possessing High Efficiency Indices
Joint Authors
Yasmin, Nusrat
Junjua, Moin-ud-Din
Cordero, Alicia
Torregrosa, Juan R.
Zafar, Fiza
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We construct a family of derivative-free optimal iterative methods without memory to approximate a simple zero of a nonlinear function.
Error analysis demonstrates that the without-memory class has eighth-order convergence and is extendable to with-memory class.
The extension of new family to the with-memory one is also presented which attains the convergence order 15.5156 and a very high efficiency index 15.51561/4≈1.9847.
Some particular schemes of the with-memory family are also described.
Numerical examples and some dynamical aspects of the new schemes are given to support theoretical results.
American Psychological Association (APA)
Cordero, Alicia& Junjua, Moin-ud-Din& Torregrosa, Juan R.& Yasmin, Nusrat& Zafar, Fiza. 2018. Efficient Four-Parametric with-and-without-Memory Iterative Methods Possessing High Efficiency Indices. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1209160
Modern Language Association (MLA)
Cordero, Alicia…[et al.]. Efficient Four-Parametric with-and-without-Memory Iterative Methods Possessing High Efficiency Indices. Mathematical Problems in Engineering No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1209160
American Medical Association (AMA)
Cordero, Alicia& Junjua, Moin-ud-Din& Torregrosa, Juan R.& Yasmin, Nusrat& Zafar, Fiza. Efficient Four-Parametric with-and-without-Memory Iterative Methods Possessing High Efficiency Indices. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1209160
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209160