A New Family of Iterative Methods Based on an Exponential Model for Solving Nonlinear Equations
Joint Authors
Li, Hengyan
Liu, Tianbao
Pang, Zaixiang
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-18
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We present two new families of iterative methods for obtaining simple roots of nonlinear equations.
The first family is developed by fitting the model m(x)=epx(Ax2+Bx+C) to the function f(x) and its derivative f′(x), f″(x) at a point xn.
In order to remove the second derivative of the first methods, we construct the second family of iterative methods by approximating the equation f(x)=0 around the point (xn,f(xn)) by the quadratic equation.
Analysis of convergence shows that the new methods have third-order or higher convergence.
Numerical experiments show that new iterative methods are effective and comparable to those of the well-known existing methods.
American Psychological Association (APA)
Liu, Tianbao& Li, Hengyan& Pang, Zaixiang. 2013. A New Family of Iterative Methods Based on an Exponential Model for Solving Nonlinear Equations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-480460
Modern Language Association (MLA)
Liu, Tianbao…[et al.]. A New Family of Iterative Methods Based on an Exponential Model for Solving Nonlinear Equations. Journal of Applied Mathematics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-480460
American Medical Association (AMA)
Liu, Tianbao& Li, Hengyan& Pang, Zaixiang. A New Family of Iterative Methods Based on an Exponential Model for Solving Nonlinear Equations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-480460
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480460