A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications
Solving systems of nonlinear equations plays a major role in engineering problems. We present a new family of optimal fourth-order Jarratt-type methods for solving nonlinear equations and extend these methods to solve system of nonlinear equations. Convergence analysis is given for both cases to sho...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/805278 |
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| _version_ | 1832548540576956416 |
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| author | Moin-ud-Din Junjua Saima Akram Nusrat Yasmin Fiza Zafar |
| author_facet | Moin-ud-Din Junjua Saima Akram Nusrat Yasmin Fiza Zafar |
| author_sort | Moin-ud-Din Junjua |
| collection | DOAJ |
| description | Solving systems of nonlinear equations plays a major role in engineering problems. We present a new family of optimal fourth-order Jarratt-type methods for solving nonlinear equations and extend these methods to solve system of nonlinear equations. Convergence analysis is given for both cases to show that the order of the new methods is four. Cost of computations, numerical tests, and basins of attraction are presented which illustrate the new methods as better alternates to previous methods. We also give an application of the proposed methods to well-known Burger's equation. |
| format | Article |
| id | doaj-art-5cf0b26afe914bd8bdc82cbbb2aa958b |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5cf0b26afe914bd8bdc82cbbb2aa958b2025-02-03T06:13:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/805278805278A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and ApplicationsMoin-ud-Din Junjua0Saima Akram1Nusrat Yasmin2Fiza Zafar3Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, PakistanSolving systems of nonlinear equations plays a major role in engineering problems. We present a new family of optimal fourth-order Jarratt-type methods for solving nonlinear equations and extend these methods to solve system of nonlinear equations. Convergence analysis is given for both cases to show that the order of the new methods is four. Cost of computations, numerical tests, and basins of attraction are presented which illustrate the new methods as better alternates to previous methods. We also give an application of the proposed methods to well-known Burger's equation.http://dx.doi.org/10.1155/2015/805278 |
| spellingShingle | Moin-ud-Din Junjua Saima Akram Nusrat Yasmin Fiza Zafar A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications Journal of Applied Mathematics |
| title | A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications |
| title_full | A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications |
| title_fullStr | A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications |
| title_full_unstemmed | A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications |
| title_short | A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications |
| title_sort | new jarratt type fourth order method for solving system of nonlinear equations and applications |
| url | http://dx.doi.org/10.1155/2015/805278 |
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