Further Development of Jarratt Method for Solving Nonlinear Equations
Author
Source
Advances in Numerical Analysis
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We present two new families of Jarratt-type methods for solving nonlinear equations.
It is proved that the order of convergence of each family member is improved from four to six by the addition of one function evaluation.
Per iteration, these new methods require two evaluations of the function and two evaluations of the first-order derivatives.
In fact, the efficiency index of these methods is 1.565.
Numerical comparisons are made with other existing methods to show the performance of the presented methods.
American Psychological Association (APA)
Thukral, Rajinder. 2012. Further Development of Jarratt Method for Solving Nonlinear Equations. Advances in Numerical Analysis،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-476079
Modern Language Association (MLA)
Thukral, Rajinder. Further Development of Jarratt Method for Solving Nonlinear Equations. Advances in Numerical Analysis No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-476079
American Medical Association (AMA)
Thukral, Rajinder. Further Development of Jarratt Method for Solving Nonlinear Equations. Advances in Numerical Analysis. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-476079
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476079