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An Efficient Family of Optimal Eighth-Order Iterative Methods for Solving Nonlinear Equations and Its Dynamics
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-14
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The prime objective of this paper is to design a new family of optimal eighth-order iterative methods by accelerating the order of convergence of the existing seventh-order method without using more evaluations for finding simple root of nonlinear equations.
Numerical comparisons have been carried out to demonstrate the efficiency and performance of the proposed method.
Finally, we have compared new method with some existing eighth-order methods by basins of attraction and observed that the proposed scheme is more efficient.
American Psychological Association (APA)
Singh, Anuradha& Jaiswal, J. P.. 2014. An Efficient Family of Optimal Eighth-Order Iterative Methods for Solving Nonlinear Equations and Its Dynamics. Journal of Mathematics،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1041085
Modern Language Association (MLA)
Singh, Anuradha& Jaiswal, J. P.. An Efficient Family of Optimal Eighth-Order Iterative Methods for Solving Nonlinear Equations and Its Dynamics. Journal of Mathematics No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1041085
American Medical Association (AMA)
Singh, Anuradha& Jaiswal, J. P.. An Efficient Family of Optimal Eighth-Order Iterative Methods for Solving Nonlinear Equations and Its Dynamics. Journal of Mathematics. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1041085
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1041085