On Some Iterative Methods with Memory and High Efficiency Index for Solving Nonlinear Equations
Based on iterative methods without memory of eighth-order convergence proposed by Thukral (2012), some iterative methods with memory and high efficiency index are presented. We show that the order of convergence is increased without any additional function evaluations. Numerical comparisons are mad...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2014/495357 |
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| _version_ | 1832552012803211264 |
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| author | Tahereh Eftekhari |
| author_facet | Tahereh Eftekhari |
| author_sort | Tahereh Eftekhari |
| collection | DOAJ |
| description | Based on iterative methods without memory of eighth-order convergence proposed by Thukral (2012), some iterative methods with memory and high efficiency index are presented. We show that the order of convergence is increased without any additional function evaluations. Numerical comparisons are made to show the performance of the presented methods. |
| format | Article |
| id | doaj-art-59acf720b43d47b28fe84c547e7baef8 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-59acf720b43d47b28fe84c547e7baef82025-02-03T05:59:50ZengWileyInternational Journal of Differential Equations1687-96431687-96512014-01-01201410.1155/2014/495357495357On Some Iterative Methods with Memory and High Efficiency Index for Solving Nonlinear EquationsTahereh Eftekhari0 Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan 987-98155, IranBased on iterative methods without memory of eighth-order convergence proposed by Thukral (2012), some iterative methods with memory and high efficiency index are presented. We show that the order of convergence is increased without any additional function evaluations. Numerical comparisons are made to show the performance of the presented methods.http://dx.doi.org/10.1155/2014/495357 |
| spellingShingle | Tahereh Eftekhari On Some Iterative Methods with Memory and High Efficiency Index for Solving Nonlinear Equations International Journal of Differential Equations |
| title | On Some Iterative Methods with Memory and High Efficiency Index for Solving Nonlinear Equations |
| title_full | On Some Iterative Methods with Memory and High Efficiency Index for Solving Nonlinear Equations |
| title_fullStr | On Some Iterative Methods with Memory and High Efficiency Index for Solving Nonlinear Equations |
| title_full_unstemmed | On Some Iterative Methods with Memory and High Efficiency Index for Solving Nonlinear Equations |
| title_short | On Some Iterative Methods with Memory and High Efficiency Index for Solving Nonlinear Equations |
| title_sort | on some iterative methods with memory and high efficiency index for solving nonlinear equations |
| url | http://dx.doi.org/10.1155/2014/495357 |
| work_keys_str_mv | AT tahereheftekhari onsomeiterativemethodswithmemoryandhighefficiencyindexforsolvingnonlinearequations |