Convergence rate for the hybrid iterative technique to explore the real root of nonlinear problems
This study explored the convergence rate of the hybrid numerical iterative technique (HNIT) for the solution of nonlinear problems (NLPs) of one variable ( f (x) = 0) . It is sightseen that convergence rate is two for the HNIT. By the HNIT, several algebraic and transcendental NLPs of one variable h...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Mehran University of Engineering and Technology
2023-01-01
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| Series: | Mehran University Research Journal of Engineering and Technology |
| Online Access: | https://publications.muet.edu.pk/index.php/muetrj/article/view/2585 |
| _version_ | 1797974174775377920 |
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| author | Wajid Ali Shaikh Abdul Ghafoor Shaikh Muhammad Memon Abdul Hanan Sheikh |
| author_facet | Wajid Ali Shaikh Abdul Ghafoor Shaikh Muhammad Memon Abdul Hanan Sheikh |
| author_sort | Wajid Ali Shaikh |
| collection | DOAJ |
| description | This study explored the convergence rate of the hybrid numerical iterative technique (HNIT) for the solution of nonlinear problems (NLPs) of one variable ( f (x) = 0) . It is sightseen that convergence rate is two for the HNIT. By the HNIT, several algebraic and transcendental NLPs of one variable have been illustrated as an approximate real root for efficient performance. In many instances, HNIT is more vigorous and attractive than well-known conventional iterative techniques (CITs). The computational tool MATLAB has been used for the solution of iterative techniques. |
| first_indexed | 2024-04-11T04:15:53Z |
| format | Article |
| id | doaj.art-241d8495a1774e619e26d71c57903bcb |
| institution | Directory Open Access Journal |
| issn | 0254-7821 2413-7219 |
| language | English |
| last_indexed | 2024-04-11T04:15:53Z |
| publishDate | 2023-01-01 |
| publisher | Mehran University of Engineering and Technology |
| record_format | Article |
| series | Mehran University Research Journal of Engineering and Technology |
| spelling | doaj.art-241d8495a1774e619e26d71c57903bcb2022-12-31T13:04:47ZengMehran University of Engineering and TechnologyMehran University Research Journal of Engineering and Technology0254-78212413-72192023-01-0142117718210.22581/muet1982.2301.162585Convergence rate for the hybrid iterative technique to explore the real root of nonlinear problemsWajid Ali Shaikh0Abdul Ghafoor Shaikh1Muhammad Memon2Abdul Hanan Sheikh3Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah Sindh PakistanDepartment of Basic Sciences and Related Studies, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah Sindh PakistanDepartment of Basic Sciences and Related Studies, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah Sindh PakistanCollege of Computer Science and Information Systems, Institute of Business Management, Karachi Sindh PakistanThis study explored the convergence rate of the hybrid numerical iterative technique (HNIT) for the solution of nonlinear problems (NLPs) of one variable ( f (x) = 0) . It is sightseen that convergence rate is two for the HNIT. By the HNIT, several algebraic and transcendental NLPs of one variable have been illustrated as an approximate real root for efficient performance. In many instances, HNIT is more vigorous and attractive than well-known conventional iterative techniques (CITs). The computational tool MATLAB has been used for the solution of iterative techniques.https://publications.muet.edu.pk/index.php/muetrj/article/view/2585 |
| spellingShingle | Wajid Ali Shaikh Abdul Ghafoor Shaikh Muhammad Memon Abdul Hanan Sheikh Convergence rate for the hybrid iterative technique to explore the real root of nonlinear problems Mehran University Research Journal of Engineering and Technology |
| title | Convergence rate for the hybrid iterative technique to explore the real root of nonlinear problems |
| title_full | Convergence rate for the hybrid iterative technique to explore the real root of nonlinear problems |
| title_fullStr | Convergence rate for the hybrid iterative technique to explore the real root of nonlinear problems |
| title_full_unstemmed | Convergence rate for the hybrid iterative technique to explore the real root of nonlinear problems |
| title_short | Convergence rate for the hybrid iterative technique to explore the real root of nonlinear problems |
| title_sort | convergence rate for the hybrid iterative technique to explore the real root of nonlinear problems |
| url | https://publications.muet.edu.pk/index.php/muetrj/article/view/2585 |
| work_keys_str_mv | AT wajidalishaikh convergencerateforthehybriditerativetechniquetoexploretherealrootofnonlinearproblems AT abdulghafoorshaikh convergencerateforthehybriditerativetechniquetoexploretherealrootofnonlinearproblems AT muhammadmemon convergencerateforthehybriditerativetechniquetoexploretherealrootofnonlinearproblems AT abdulhanansheikh convergencerateforthehybriditerativetechniquetoexploretherealrootofnonlinearproblems |