A Family of Fourteenth-Order Convergent Iterative Methods for Solving Nonlinear Equations
Joint Authors
Source
Chinese Journal of Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-29
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We present a family of fourteenth-order convergent iterative methods for solving nonlinear equations involving a specific step which when combined with any two-step iterative method raises the convergence order by n+10, if n is the order of convergence of the two-step iterative method.
This new class include four evaluations of function and one evaluation of the first derivative per iteration.
Therefore, the efficiency index of this family is 141/5 =1.695218203.
Several numerical examples are given to show that the new methods of this family are comparable with the existing methods.
American Psychological Association (APA)
Zafar, Fiza& Bibi, Gulshan. 2014. A Family of Fourteenth-Order Convergent Iterative Methods for Solving Nonlinear Equations. Chinese Journal of Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-462657
Modern Language Association (MLA)
Zafar, Fiza& Bibi, Gulshan. A Family of Fourteenth-Order Convergent Iterative Methods for Solving Nonlinear Equations. Chinese Journal of Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-462657
American Medical Association (AMA)
Zafar, Fiza& Bibi, Gulshan. A Family of Fourteenth-Order Convergent Iterative Methods for Solving Nonlinear Equations. Chinese Journal of Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-462657
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462657