A New Three Step Iterative Method without Second Derivative for Solving Nonlinear Equations

Raghad I.  Sabri

doi:10.21123/bsj.2015.12.3.632-637

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Published: Sep 6, 2015

DOI: https://doi.org/10.21123/bsj.2015.12.3.632-637

Keywords:

nonlinear equations, Newton method, iterative method, three- step method, order of convergence

Raghad I. Sabri

Abstract

In this paper , an efficient new procedure is proposed to modify third –order iterative method obtained by Rostom and Fuad [Saeed. R. K. and Khthr. F.W. New third –order iterative method for solving nonlinear equations. J. Appl. Sci .7(2011): 916-921] , using three steps based on Newton equation , finite difference method and linear interpolation. Analysis of convergence is given to show the efficiency and the performance of the new method for solving nonlinear equations. The efficiency of the new method is demonstrated by numerical examples.

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A New Three Step Iterative Method without Second Derivative for Solving Nonlinear Equations . Baghdad Sci.J [Internet]. 2015 Sep. 6 [cited 2024 Nov. 23];12(3):632-7. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2109

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Vol. 12 No. 3 (2015): issue 3

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P-ISSN: 2078-8665 | E-ISSN: 2411-7986

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Journal: Baghdad Science Journal
Publisher: College of Science for Women/ University of Baghdad
Baghdad Sci. J. is peer-reviewed and open access
Print ISSN: 2078-8665
Electronic ISSN: 2411-7986
Publishing Frequency: Quarterly (from 2004 - 2021) Bi-monthly (from 2022) Monthly (from 2024)
Launched Date: 2004
Abbreviation: Baghdad Sci.J.
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© 2022 The Author(s). Published by College of Science for Women, University of Baghdad. This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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