On a New Iterative Scheme without Memory with Optimal Eighth Order
The purpose of this paper is to derive and discuss a three-step iterative expression for solving nonlinear equations. In fact, we derive a derivative-free form for one of the existing optimal eighth-order methods and preserve its convergence order. Theoretical results will be upheld by numerical exp...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/727490 |
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| _version_ | 1832545396175405056 |
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| author | M. Sharifi S. Karimi Vanani F. Khaksar Haghani M. Arab S. Shateyi |
| author_facet | M. Sharifi S. Karimi Vanani F. Khaksar Haghani M. Arab S. Shateyi |
| author_sort | M. Sharifi |
| collection | DOAJ |
| description | The purpose of this paper is to derive and discuss a three-step iterative expression for solving nonlinear equations. In fact, we derive a derivative-free form for one of the existing optimal eighth-order methods and preserve its convergence order. Theoretical results will
be upheld by numerical experiments. |
| format | Article |
| id | doaj-art-bbbb394c9d0e44718fade1cbbbf0e025 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-bbbb394c9d0e44718fade1cbbbf0e0252025-02-03T07:25:54ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/727490727490On a New Iterative Scheme without Memory with Optimal Eighth OrderM. Sharifi0S. Karimi Vanani1F. Khaksar Haghani2M. Arab3S. Shateyi4Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranDepartment of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranDepartment of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranDepartment of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranDepartment of Mathematics and Applied Mathematics, University of Venda, Thohoyandou 0950, South AfricaThe purpose of this paper is to derive and discuss a three-step iterative expression for solving nonlinear equations. In fact, we derive a derivative-free form for one of the existing optimal eighth-order methods and preserve its convergence order. Theoretical results will be upheld by numerical experiments.http://dx.doi.org/10.1155/2014/727490 |
| spellingShingle | M. Sharifi S. Karimi Vanani F. Khaksar Haghani M. Arab S. Shateyi On a New Iterative Scheme without Memory with Optimal Eighth Order The Scientific World Journal |
| title | On a New Iterative Scheme without Memory with Optimal Eighth Order |
| title_full | On a New Iterative Scheme without Memory with Optimal Eighth Order |
| title_fullStr | On a New Iterative Scheme without Memory with Optimal Eighth Order |
| title_full_unstemmed | On a New Iterative Scheme without Memory with Optimal Eighth Order |
| title_short | On a New Iterative Scheme without Memory with Optimal Eighth Order |
| title_sort | on a new iterative scheme without memory with optimal eighth order |
| url | http://dx.doi.org/10.1155/2014/727490 |
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