Some Class of Third- and Fourth-Order Iterative Methods for Solving Nonlinear Equations
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-11
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The object of the present work is to give the new class of third- and fourth-order iterative methods for solving nonlinear equations.
Our proposed third-order method includes methods of Weerakoon and Fernando (2000), Homeier (2005), and Chun and Kim (2010) as particular cases.
The multivariate extension of some of these methods has been also deliberated.
Finally, some numerical examples are given to illustrate the performances of our proposed methods by comparing them with some well existing third- and fourth-order methods.
The efficiency of our proposed fourth-order method over some fourth-order methods is also confirmed by basins of attraction.
American Psychological Association (APA)
Jaiswal, J. P.. 2014. Some Class of Third- and Fourth-Order Iterative Methods for Solving Nonlinear Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-500518
Modern Language Association (MLA)
Jaiswal, J. P.. Some Class of Third- and Fourth-Order Iterative Methods for Solving Nonlinear Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-500518
American Medical Association (AMA)
Jaiswal, J. P.. Some Class of Third- and Fourth-Order Iterative Methods for Solving Nonlinear Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-500518
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500518
