Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan
The performance and convergence properties of several numerical techniques for solving nonlinear equations are examined in this work. The study uses Maple 2016 software to perform a thorough analysis, focusing on iterative techniques including Newton's method, Steffensen's method, Two-Step...
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| Format: | Thesis |
| Language: | en |
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2024
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| Online Access: | https://ir.uitm.edu.my/id/eprint/95239/1/95239.pdf https://ir.uitm.edu.my/id/eprint/95239/ |
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| _version_ | 1838233697840529408 |
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| author | Hassan, Muhammad Amir Farhan |
| author_facet | Hassan, Muhammad Amir Farhan |
| author_sort | Hassan, Muhammad Amir Farhan |
| building | Tun Abdul Razak Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Mara |
| content_source | UiTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | The performance and convergence properties of several numerical techniques for solving nonlinear equations are examined in this work. The study uses Maple 2016 software to perform a thorough analysis, focusing on iterative techniques including Newton's method, Steffensen's method, Two-Step Steffensen's method, Ostrowski's method, and Modified Ostrowski's method. The effectiveness of these techniques is assessed across ten different test functions and multiple tolerance limits. Considering the computational efficiency and convergence rates of each method, the study highlights its advantages and disadvantages. |
| format | Thesis |
| id | my.uitm.ir-95239 |
| institution | Universiti Teknologi Mara |
| language | en |
| publishDate | 2024 |
| record_format | eprints |
| spelling | my.uitm.ir-952392025-07-16T08:56:42Z https://ir.uitm.edu.my/id/eprint/95239/ Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan Hassan, Muhammad Amir Farhan Analytical methods used in the solution of physical problems The performance and convergence properties of several numerical techniques for solving nonlinear equations are examined in this work. The study uses Maple 2016 software to perform a thorough analysis, focusing on iterative techniques including Newton's method, Steffensen's method, Two-Step Steffensen's method, Ostrowski's method, and Modified Ostrowski's method. The effectiveness of these techniques is assessed across ten different test functions and multiple tolerance limits. Considering the computational efficiency and convergence rates of each method, the study highlights its advantages and disadvantages. 2024 Thesis NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/95239/1/95239.pdf Hassan, Muhammad Amir Farhan (2024) Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan. (2024) Degree thesis, thesis, Universiti Teknologi MARA, Terengganu. <http://terminalib.uitm.edu.my/95239.pdf> |
| spellingShingle | Analytical methods used in the solution of physical problems Hassan, Muhammad Amir Farhan Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan |
| title | Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan |
| title_full | Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan |
| title_fullStr | Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan |
| title_full_unstemmed | Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan |
| title_short | Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan |
| title_sort | comparative analysis of nonlinear equation solvers: a study on newton, ostrowski, modified ostrowski, steffensen, and two-step steffensen methods / muhammad amir farhan hassan |
| topic | Analytical methods used in the solution of physical problems |
| url | https://ir.uitm.edu.my/id/eprint/95239/1/95239.pdf https://ir.uitm.edu.my/id/eprint/95239/ |
| url_provider | http://ir.uitm.edu.my/ |