New Family of Iterative Methods for Solving Nonlinear Models
We introduce a new family of iterative methods for solving mathematical models whose governing equations are nonlinear in nature. The new family gives several iterative schemes as special cases. We also give the convergence analysis of our proposed methods. In order to demonstrate the improved perfo...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/9619680 |
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| _version_ | 1850172507653406720 |
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| author | Faisal Ali Waqas Aslam Kashif Ali Muhammad Adnan Anwar Akbar Nadeem |
| author_facet | Faisal Ali Waqas Aslam Kashif Ali Muhammad Adnan Anwar Akbar Nadeem |
| author_sort | Faisal Ali |
| collection | DOAJ |
| description | We introduce a new family of iterative methods for solving mathematical models whose governing equations are nonlinear in nature. The new family gives several iterative schemes as special cases. We also give the convergence analysis of our proposed methods. In order to demonstrate the improved performance of newly developed methods, we consider some nonlinear equations along with two complex mathematical models. The graphical analysis for these models is also presented. |
| format | Article |
| id | doaj-art-d053a48aadbc4e3ea78498b28c8a8729 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d053a48aadbc4e3ea78498b28c8a87292025-08-20T02:20:05ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/96196809619680New Family of Iterative Methods for Solving Nonlinear ModelsFaisal Ali0Waqas Aslam1Kashif Ali2Muhammad Adnan Anwar3Akbar Nadeem4Centre 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, PakistanDepartment of Basic Sciences and Humanities, Muhammad Nawaz Sharif University of Engineering and Technology, 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, PakistanWe introduce a new family of iterative methods for solving mathematical models whose governing equations are nonlinear in nature. The new family gives several iterative schemes as special cases. We also give the convergence analysis of our proposed methods. In order to demonstrate the improved performance of newly developed methods, we consider some nonlinear equations along with two complex mathematical models. The graphical analysis for these models is also presented.http://dx.doi.org/10.1155/2018/9619680 |
| spellingShingle | Faisal Ali Waqas Aslam Kashif Ali Muhammad Adnan Anwar Akbar Nadeem New Family of Iterative Methods for Solving Nonlinear Models Discrete Dynamics in Nature and Society |
| title | New Family of Iterative Methods for Solving Nonlinear Models |
| title_full | New Family of Iterative Methods for Solving Nonlinear Models |
| title_fullStr | New Family of Iterative Methods for Solving Nonlinear Models |
| title_full_unstemmed | New Family of Iterative Methods for Solving Nonlinear Models |
| title_short | New Family of Iterative Methods for Solving Nonlinear Models |
| title_sort | new family of iterative methods for solving nonlinear models |
| url | http://dx.doi.org/10.1155/2018/9619680 |
| work_keys_str_mv | AT faisalali newfamilyofiterativemethodsforsolvingnonlinearmodels AT waqasaslam newfamilyofiterativemethodsforsolvingnonlinearmodels AT kashifali newfamilyofiterativemethodsforsolvingnonlinearmodels AT muhammadadnananwar newfamilyofiterativemethodsforsolvingnonlinearmodels AT akbarnadeem newfamilyofiterativemethodsforsolvingnonlinearmodels |