New Iterative Method for Solving Nonlinear Equations

New Iterative Method for Solving Nonlinear Equations

The aim of this paper is to propose an efficient three steps iterative method for finding the zeros of the nonlinear equation f(x)=0 . Starting with a suitably chosen , the method generates a sequence of iterates converging to the root. The convergence analysis is proved to establish its five ord...

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Bibliographic Details
Main Author: Baghdad Science Journal
Format: Article
Language:Arabic
Published: College of Science for Women, University of Baghdad 2014-12-01
Series:Baghdad Science Journal
Subjects:
Nonlinear equation , convergence , three step method
Online Access:http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2061
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spelling doaj-06e27a654f9b4597b3be0d07e06dac982020-11-25T02:03:29ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862014-12-0111410.21123/bsj.11.4.1649-1654New Iterative Method for Solving Nonlinear EquationsBaghdad Science Journal The aim of this paper is to propose an efficient three steps iterative method for finding the zeros of the nonlinear equation f(x)=0 . Starting with a suitably chosen , the method generates a sequence of iterates converging to the root. The convergence analysis is proved to establish its five order of convergence. Several examples are given to illustrate the efficiency of the proposed new method and its comparison with other methods. http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2061Nonlinear equation , convergence , three step method
collection DOAJ
language Arabic
format Article
sources DOAJ
author Baghdad Science Journal
spellingShingle Baghdad Science Journal
New Iterative Method for Solving Nonlinear Equations
Baghdad Science Journal
Nonlinear equation , convergence , three step method
author_facet Baghdad Science Journal
author_sort Baghdad Science Journal
title New Iterative Method for Solving Nonlinear Equations
title_short New Iterative Method for Solving Nonlinear Equations
title_full New Iterative Method for Solving Nonlinear Equations
title_fullStr New Iterative Method for Solving Nonlinear Equations
title_full_unstemmed New Iterative Method for Solving Nonlinear Equations
title_sort new iterative method for solving nonlinear equations
publisher College of Science for Women, University of Baghdad
series Baghdad Science Journal
issn 2078-8665
2411-7986
publishDate 2014-12-01
description The aim of this paper is to propose an efficient three steps iterative method for finding the zeros of the nonlinear equation f(x)=0 . Starting with a suitably chosen , the method generates a sequence of iterates converging to the root. The convergence analysis is proved to establish its five order of convergence. Several examples are given to illustrate the efficiency of the proposed new method and its comparison with other methods.
topic Nonlinear equation , convergence , three step method
url http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2061
work_keys_str_mv AT baghdadsciencejournal newiterativemethodforsolvingnonlinearequations
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