Four-Point Optimal Sixteenth-Order Iterative Method for Solving Nonlinear Equations
Joint Authors
Ahmad, Fayyaz
al-Fhaid, A. S.
Ullah, Malik Zaka
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-03
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We present an iterative method for solving nonlinear equations.
The proposed iterative method has optimal order of convergence sixteen in the sense of Kung-Traub conjecture (Kung and Traub, 1974); it means that the iterative scheme uses five functional evaluations to achieve 16(=25-1) order of convergence.
The proposed iterative method utilizes one derivative and four function evaluations.
Numerical experiments are made to demonstrate the convergence and validation of the iterative method.
American Psychological Association (APA)
Ullah, Malik Zaka& al-Fhaid, A. S.& Ahmad, Fayyaz. 2013. Four-Point Optimal Sixteenth-Order Iterative Method for Solving Nonlinear Equations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-503206
Modern Language Association (MLA)
Ullah, Malik Zaka…[et al.]. Four-Point Optimal Sixteenth-Order Iterative Method for Solving Nonlinear Equations. Journal of Applied Mathematics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-503206
American Medical Association (AMA)
Ullah, Malik Zaka& al-Fhaid, A. S.& Ahmad, Fayyaz. Four-Point Optimal Sixteenth-Order Iterative Method for Solving Nonlinear Equations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-503206
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503206