Two new efficient sixth order iterative methods for solving nonlinear equations

被引：18

作者：

Solaiman, Obadah Said ^{[1
]}

Hashim, Ishak ^{[2
]}

机构：

[1] King Faisal Univ, Hofouf 31982, Ahsaa, Saudi Arabia

[2] Univ Kebangsaan Malaysia, Sch Math Sci, Fac Sci & Technol, Bangi 43600, Selangor, Malaysia

来源：

JOURNAL OF KING SAUD UNIVERSITY SCIENCE | 2019年 / 31卷 / 04期

关键词：

Root finding method; Halley's method; Nonlinear equations; Iterative methods; Order of convergence; HALLEY METHOD;

D O I：

10.1016/j.jksus.2018.03.021

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we present two new iterative methods, one of them is second derivative free, for solving nonlinear equations. We derive these methods based on the Taylor series expansion and Halley's method. The convergence analysis of the two methods is discussed. It is established that the new methods have sixth order of convergence. Several numerical examples given show that the new methods are comparable with the well-known existing methods of the same order. (C) 2018 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.

引用

页码：701 / 705

页数：5

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