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

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

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 equ...

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Main Author: Baghdad Science Journal
Format: Article
Language:Arabic
Published: College of Science for Women, University of Baghdad 2015-09-01
Series:Baghdad Science Journal
Subjects:
nonlinear equations, Newton method, iterative method, three- step method, order of convergence
Online Access:http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2109
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spelling doaj-55aecfe8e4f4482483665976781053e42020-11-25T02:13:59ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862015-09-0112310.21123/bsj.12.3.632-637A New Three Step Iterative Method without Second Derivative for Solving Nonlinear Equations Baghdad Science Journal 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.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2109nonlinear equations, Newton method, iterative method, three- step method, order of convergence
collection DOAJ
language Arabic
format Article
sources DOAJ
author Baghdad Science Journal
spellingShingle Baghdad Science Journal
A New Three Step Iterative Method without Second Derivative for Solving Nonlinear Equations
Baghdad Science Journal
nonlinear equations, Newton method, iterative method, three- step method, order of convergence
author_facet Baghdad Science Journal
author_sort Baghdad Science Journal
title A New Three Step Iterative Method without Second Derivative for Solving Nonlinear Equations
title_short A New Three Step Iterative Method without Second Derivative for Solving Nonlinear Equations
title_full A New Three Step Iterative Method without Second Derivative for Solving Nonlinear Equations
title_fullStr A New Three Step Iterative Method without Second Derivative for Solving Nonlinear Equations
title_full_unstemmed A New Three Step Iterative Method without Second Derivative for Solving Nonlinear Equations
title_sort new three step iterative method without second derivative for solving nonlinear equations
publisher College of Science for Women, University of Baghdad
series Baghdad Science Journal
issn 2078-8665
2411-7986
publishDate 2015-09-01
description 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.
topic nonlinear equations, Newton method, iterative method, three- step method, order of convergence
url http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2109
work_keys_str_mv AT baghdadsciencejournal anewthreestepiterativemethodwithoutsecondderivativeforsolvingnonlinearequations
AT baghdadsciencejournal newthreestepiterativemethodwithoutsecondderivativeforsolvingnonlinearequations
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