Two new efficient sixth order iterative methods for solving nonlinear equations

Obadah Said Solaiman, Ishak Hashim

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
JournalJournal of King Saud University - Science
DOIs
Publication statusAccepted/In press - 1 Jan 2018

Fingerprint

Nonlinear Equations
Iteration
Halley's Method
Derivative-free
Taylor Series Expansion
Order of Convergence
Second derivative
Convergence Analysis
Numerical Examples

Keywords

  • Halley's method
  • Iterative methods
  • Nonlinear equations
  • Order of convergence
  • Root finding method

ASJC Scopus subject areas

  • General

Cite this

Two new efficient sixth order iterative methods for solving nonlinear equations. / Said Solaiman, Obadah; Hashim, Ishak.

In: Journal of King Saud University - Science, 01.01.2018.

Research output: Contribution to journalArticle

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