On Newton-Type Methods with Fourth and Fifth-Order Convergence
- Authors: Zhanlav T1, Chuluunbaatar O2, Ankhbayar G1
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Affiliations:
- School of Mathematics and Computer Science
- Joint Institute for Nuclear Research
- Issue: No 2.2 (2010)
- Pages: 30-35
- Section: Articles
- URL: https://journals.rudn.ru/miph/article/view/8286
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Abstract
In this paper, we suggest and analyze new three-step iterative methods for solving nonlinear equations. The analysis of convergence shows that the proposed methods are fourth and fifth-order convergence. Several numerical examples are given to illustrate the efficiency and performance of the proposed methods. Comparison of different methods is also given.
About the authors
T Zhanlav
School of Mathematics and Computer Science
Email: zhanlav@yahoo.com
; School of Mathematics and Computer Science
O Chuluunbaatar
Joint Institute for Nuclear Research
Email: chuka@jinr.ru
; Joint Institute for Nuclear Research
G Ankhbayar
School of Mathematics and Computer Science
Email: anxaa_w@yahoo.com
; School of Mathematics and Computer Science