A New Class of Halley’s Method with Third-Order Convergence for Solving Nonlinear Equations
Joint Authors
Barrada, Mohammed
Ouaissa, Mariya
Rhazali, Yassine
Ouaissa, Mariyam
Source
Journal of Applied Mathematics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-02
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, we present a new family of methods for finding simple roots of nonlinear equations.
The convergence analysis shows that the order of convergence of all these methods is three.
The originality of this family lies in the fact that these sequences are defined by an explicit expression which depends on a parameter p where p is a nonnegative integer.
A first study on the global convergence of these methods is performed.
The power of this family is illustrated analytically by justifying that, under certain conditions, the method convergence’s speed increases with the parameter p.
This family’s efficiency is tested on a number of numerical examples.
It is observed that our new methods take less number of iterations than many other third-order methods.
In comparison with the methods of the sixth and eighth order, the new ones behave similarly in the examples considered.
American Psychological Association (APA)
Barrada, Mohammed& Ouaissa, Mariya& Rhazali, Yassine& Ouaissa, Mariyam. 2020. A New Class of Halley’s Method with Third-Order Convergence for Solving Nonlinear Equations. Journal of Applied Mathematics،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1174511
Modern Language Association (MLA)
Barrada, Mohammed…[et al.]. A New Class of Halley’s Method with Third-Order Convergence for Solving Nonlinear Equations. Journal of Applied Mathematics No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1174511
American Medical Association (AMA)
Barrada, Mohammed& Ouaissa, Mariya& Rhazali, Yassine& Ouaissa, Mariyam. A New Class of Halley’s Method with Third-Order Convergence for Solving Nonlinear Equations. Journal of Applied Mathematics. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1174511
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174511