On Newton-Type Methods with Fourth and Fifth-Order Convergence

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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

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Copyright (c) 2010 Жанлав T., Чулуунбаатар О., Анхбаяр Г.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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