Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations
Various problems of pure and applied sciences can be studied in the unified framework of nonlinear equations. In this paper, a new family of iterative methods for solving nonlinear equations is developed by using a new decomposition technique. The convergence of the new methods is proven. For the im...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/3794357 |
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| _version_ | 1832568313634357248 |
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| author | Farooq Ahmed Shah Maslina Darus Imran Faisal Muhammad Arsalan Shafiq |
| author_facet | Farooq Ahmed Shah Maslina Darus Imran Faisal Muhammad Arsalan Shafiq |
| author_sort | Farooq Ahmed Shah |
| collection | DOAJ |
| description | Various problems of pure and applied sciences can be studied in the unified framework of nonlinear equations. In this paper, a new family of iterative methods for solving nonlinear equations is developed by using a new decomposition technique. The convergence of the new methods is proven. For the implementation and performance of the new methods, some examples are solved and the results are compared with some existing methods. |
| format | Article |
| id | doaj-art-c24a313d90eb449f8f2a19ceb35142d0 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-c24a313d90eb449f8f2a19ceb35142d02025-02-03T00:59:22ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/37943573794357Decomposition Technique and a Family of Efficient Schemes for Nonlinear EquationsFarooq Ahmed Shah0Maslina Darus1Imran Faisal2Muhammad Arsalan Shafiq3Department of Mathematics, COMSATS Institute of Information Technology, Attock Campus, Attock, PakistanSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaDepartment of Mathematics, University of Education, Attock Campus, Attock, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Attock Campus, Attock, PakistanVarious problems of pure and applied sciences can be studied in the unified framework of nonlinear equations. In this paper, a new family of iterative methods for solving nonlinear equations is developed by using a new decomposition technique. The convergence of the new methods is proven. For the implementation and performance of the new methods, some examples are solved and the results are compared with some existing methods.http://dx.doi.org/10.1155/2017/3794357 |
| spellingShingle | Farooq Ahmed Shah Maslina Darus Imran Faisal Muhammad Arsalan Shafiq Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations Discrete Dynamics in Nature and Society |
| title | Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations |
| title_full | Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations |
| title_fullStr | Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations |
| title_full_unstemmed | Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations |
| title_short | Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations |
| title_sort | decomposition technique and a family of efficient schemes for nonlinear equations |
| url | http://dx.doi.org/10.1155/2017/3794357 |
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