Another Simple Way of Deriving Several Iterative Functions to Solve Nonlinear Equations
Joint Authors
Kanwar, Vinay
Sharma, Kapil K.
Behl, Ramandeep
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-24
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We present another simple way of deriving several iterative methods for solving nonlinear equations numerically.
The presented approach of deriving these methods is based on exponentially fitted osculating straight line.
These methods are the modifications of Newton's method.
Also, we obtain well-known methods as special cases, for example, Halley's method, super-Halley method, Ostrowski's square-root method, Chebyshev's method, and so forth.
Further, new classes of third-order multipoint iterative methods free from a second-order derivative are derived by semidiscrete modifications of cubically convergent iterative methods.
Furthermore, a simple linear combination of two third-order multipoint iterative methods is used for designing new optimal methods of order four.
American Psychological Association (APA)
Behl, Ramandeep& Kanwar, Vinay& Sharma, Kapil K.. 2012. Another Simple Way of Deriving Several Iterative Functions to Solve Nonlinear Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1028807
Modern Language Association (MLA)
Behl, Ramandeep…[et al.]. Another Simple Way of Deriving Several Iterative Functions to Solve Nonlinear Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-1028807
American Medical Association (AMA)
Behl, Ramandeep& Kanwar, Vinay& Sharma, Kapil K.. Another Simple Way of Deriving Several Iterative Functions to Solve Nonlinear Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1028807
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028807