Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan
The secant method, the modified secant method, and the modified Newton-secant method are three common iterative methods for solving nonlinear equations that are compared in this article. A commonly used technique for locating roots is the secant method, however it suffers from delayed convergence cl...
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| Format: | Thesis |
| Language: | en |
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2023
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| Online Access: | https://ir.uitm.edu.my/id/eprint/97783/1/97783.pdf https://ir.uitm.edu.my/id/eprint/97783/ |
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| _version_ | 1833321108762263552 |
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| author | Hassan, Nurul Shayiddatul Asma |
| author_facet | Hassan, Nurul Shayiddatul Asma |
| author_sort | Hassan, Nurul Shayiddatul Asma |
| building | Tun Abdul Razak Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Mara |
| content_source | UiTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | The secant method, the modified secant method, and the modified Newton-secant method are three common iterative methods for solving nonlinear equations that are compared in this article. A commonly used technique for locating roots is the secant method, however it suffers from delayed convergence close to the answer. The modified secant method introduces a slight perturbation in the secant formula to improve convergence properties in order to get over this restriction. The modified Newton-secant method, on the other hand, uses a secant-based strategy together with derivative data to combine the benefits of both the secant and Newton methods. The objective of this research is to evaluate and compare how well various methods perform in terms of number of iterations, value of roots, error and Central Processing Units (CPU) Time. Overall, this comparative analysis adds to the body of knowledge on numerical methods for nonlinear equations and helps researchers and practitioners choose and use the right iterative method by providing them with the information they need. This research conclude that Modified Secant method is the efficient method among those three methods. |
| format | Thesis |
| id | my.uitm.ir-97783 |
| institution | Universiti Teknologi Mara |
| language | en |
| publishDate | 2023 |
| record_format | eprints |
| spelling | my.uitm.ir-977832024-07-27T17:56:16Z https://ir.uitm.edu.my/id/eprint/97783/ Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan Hassan, Nurul Shayiddatul Asma Difference equations. Functional equations. Delay differential equations. Integral equations The secant method, the modified secant method, and the modified Newton-secant method are three common iterative methods for solving nonlinear equations that are compared in this article. A commonly used technique for locating roots is the secant method, however it suffers from delayed convergence close to the answer. The modified secant method introduces a slight perturbation in the secant formula to improve convergence properties in order to get over this restriction. The modified Newton-secant method, on the other hand, uses a secant-based strategy together with derivative data to combine the benefits of both the secant and Newton methods. The objective of this research is to evaluate and compare how well various methods perform in terms of number of iterations, value of roots, error and Central Processing Units (CPU) Time. Overall, this comparative analysis adds to the body of knowledge on numerical methods for nonlinear equations and helps researchers and practitioners choose and use the right iterative method by providing them with the information they need. This research conclude that Modified Secant method is the efficient method among those three methods. 2023 Thesis NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/97783/1/97783.pdf Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan. (2023) Degree thesis, thesis, Universiti Teknologi MARA, Terengganu. |
| spellingShingle | Difference equations. Functional equations. Delay differential equations. Integral equations Hassan, Nurul Shayiddatul Asma Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan |
| title | Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan |
| title_full | Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan |
| title_fullStr | Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan |
| title_full_unstemmed | Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan |
| title_short | Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan |
| title_sort | comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / nurul shayiddatul asma hassan |
| topic | Difference equations. Functional equations. Delay differential equations. Integral equations |
| url | https://ir.uitm.edu.my/id/eprint/97783/1/97783.pdf https://ir.uitm.edu.my/id/eprint/97783/ |
| url_provider | http://ir.uitm.edu.my/ |