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 orde...
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| Format: | Article |
| Language: | Arabic |
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College of Science for Women, University of Baghdad
2014-12-01
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| Series: | Baghdad Science Journal |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2061 |
| _version_ | 1811295509749432320 |
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| author | Baghdad Science Journal |
| author_facet | Baghdad Science Journal |
| author_sort | Baghdad Science Journal |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-13T05:34:31Z |
| format | Article |
| id | doaj.art-06e27a654f9b4597b3be0d07e06dac98 |
| institution | Directory Open Access Journal |
| issn | 2078-8665 2411-7986 |
| language | Arabic |
| last_indexed | 2024-04-13T05:34:31Z |
| publishDate | 2014-12-01 |
| publisher | College of Science for Women, University of Baghdad |
| record_format | Article |
| series | Baghdad Science Journal |
| spelling | doaj.art-06e27a654f9b4597b3be0d07e06dac982022-12-22T03:00:20ZaraCollege 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 JournalThe 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 |
| spellingShingle | Baghdad Science Journal New Iterative Method for Solving Nonlinear Equations Baghdad Science Journal Nonlinear equation , convergence , three step method |
| title | 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_short | New Iterative Method for Solving Nonlinear Equations |
| title_sort | new iterative method for solving nonlinear equations |
| 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 |