A New Three-step Iterative Method for Solving Nonlinear Equations
In this paper, a new three-step iterative method for finding a simple root of the nonlinear equation of f(x) = 0 will be introduced. This method is based on the two-step method of [C. Chun, Y. Ham, Some fourth-order modifications of Newton’s method, Appl. Math. Comput. 197 (2008) 654-658]. The n...
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| Language: | English |
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Islamic Azad University
2012-03-01
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| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/95 |
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doaj-2b71e2d0a1504e249e1794b3522478c32020-11-25T04:00:22ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992012-03-01612939A New Three-step Iterative Method for Solving Nonlinear EquationsM. Matin Far0M. Aminzadeh1S. Asadpour2University of MazandaranUniversity of MazandaranUniversity of MazandaranIn this paper, a new three-step iterative method for finding a simple root of the nonlinear equation of f(x) = 0 will be introduced. This method is based on the two-step method of [C. Chun, Y. Ham, Some fourth-order modifications of Newton’s method, Appl. Math. Comput. 197 (2008) 654-658]. The new method requires three evaluations of the function and two of its first-derivative. We will prove that the order of convergence of the new method and its efficiency index will respectively be 8, and 1.5157. Some numerical experiments are given to illustrate the performance of the three-step iterative method.http://ijmex.com/index.php/ijmex/article/view/95 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. Matin Far M. Aminzadeh S. Asadpour |
| spellingShingle |
M. Matin Far M. Aminzadeh S. Asadpour A New Three-step Iterative Method for Solving Nonlinear Equations Journal of Mathematical Extension |
| author_facet |
M. Matin Far M. Aminzadeh S. Asadpour |
| author_sort |
M. Matin Far |
| title |
A New Three-step Iterative Method for Solving Nonlinear Equations |
| title_short |
A New Three-step Iterative Method for Solving Nonlinear Equations |
| title_full |
A New Three-step Iterative Method for Solving Nonlinear Equations |
| title_fullStr |
A New Three-step Iterative Method for Solving Nonlinear Equations |
| title_full_unstemmed |
A New Three-step Iterative Method for Solving Nonlinear Equations |
| title_sort |
new three-step iterative method for solving nonlinear equations |
| publisher |
Islamic Azad University |
| series |
Journal of Mathematical Extension |
| issn |
1735-8299 1735-8299 |
| publishDate |
2012-03-01 |
| description |
In this paper, a new three-step iterative method for finding
a simple root of the nonlinear equation of f(x) = 0 will be introduced.
This method is based on the two-step method of [C. Chun,
Y. Ham, Some fourth-order modifications of Newton’s method, Appl.
Math. Comput. 197 (2008) 654-658]. The new method requires three
evaluations of the function and two of its first-derivative. We will prove
that the order of convergence of the new method and its efficiency index
will respectively be 8, and 1.5157. Some numerical experiments are
given to illustrate the performance of the three-step iterative method. |
| url |
http://ijmex.com/index.php/ijmex/article/view/95 |
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AT mmatinfar anewthreestepiterativemethodforsolvingnonlinearequations AT maminzadeh anewthreestepiterativemethodforsolvingnonlinearequations AT sasadpour anewthreestepiterativemethodforsolvingnonlinearequations AT mmatinfar newthreestepiterativemethodforsolvingnonlinearequations AT maminzadeh newthreestepiterativemethodforsolvingnonlinearequations AT sasadpour newthreestepiterativemethodforsolvingnonlinearequations |
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