Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar
In the field of science, engineering and natural science, practitioners often faced with the question of finding the exact root of the function. The exact root for simple function is easy to acquire rather than complicated functions. Therefore, numerical method in the form of bracketing method is of...
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| Format: | Thesis |
| Language: | en |
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2019
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| Online Access: | https://ir.uitm.edu.my/id/eprint/40652/1/40652.pdf https://ir.uitm.edu.my/id/eprint/40652/ |
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| _version_ | 1833066466731098112 |
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| author | Mohamed Azhar, Nur Afiqah |
| author_facet | Mohamed Azhar, Nur Afiqah |
| author_sort | Mohamed Azhar, Nur Afiqah |
| building | Tun Abdul Razak Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Mara |
| content_source | UiTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | In the field of science, engineering and natural science, practitioners often faced with the question of finding the exact root of the function. The exact root for simple function is easy to acquire rather than complicated functions. Therefore, numerical method in the form of bracketing method is often used to find only the approximate root of the function. This research tries to approximate the root for ten difference function of trigonometric, polynomial, exponential and logarithmic function using five difference bracketing method which are bisection, n-section, improved n-section, newton and bisection newton like algorithm. The result is based on number of iteration, CPU time and error analysis from three difference tolerance. Numerical result show that the newton’s method is the best bracketing method for finding the root of function. |
| format | Thesis |
| id | my.uitm.ir-40652 |
| institution | Universiti Teknologi Mara |
| language | en |
| publishDate | 2019 |
| record_format | eprints |
| spelling | my.uitm.ir-406522021-01-19T04:50:22Z https://ir.uitm.edu.my/id/eprint/40652/ Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar Mohamed Azhar, Nur Afiqah Mathematical statistics. Probabilities Analytical methods used in the solution of physical problems Evolutionary programming (Computer science). Genetic algorithms Algorithms In the field of science, engineering and natural science, practitioners often faced with the question of finding the exact root of the function. The exact root for simple function is easy to acquire rather than complicated functions. Therefore, numerical method in the form of bracketing method is often used to find only the approximate root of the function. This research tries to approximate the root for ten difference function of trigonometric, polynomial, exponential and logarithmic function using five difference bracketing method which are bisection, n-section, improved n-section, newton and bisection newton like algorithm. The result is based on number of iteration, CPU time and error analysis from three difference tolerance. Numerical result show that the newton’s method is the best bracketing method for finding the root of function. 2019-01 Thesis NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/40652/1/40652.pdf Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar. (2019) Degree thesis, thesis, Universiti Teknologi MARA. |
| spellingShingle | Mathematical statistics. Probabilities Analytical methods used in the solution of physical problems Evolutionary programming (Computer science). Genetic algorithms Algorithms Mohamed Azhar, Nur Afiqah Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar |
| title | Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar |
| title_full | Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar |
| title_fullStr | Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar |
| title_full_unstemmed | Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar |
| title_short | Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar |
| title_sort | finding the root of nonlinear function using five bracketing method / nur afiqah mohamed azhar |
| topic | Mathematical statistics. Probabilities Analytical methods used in the solution of physical problems Evolutionary programming (Computer science). Genetic algorithms Algorithms |
| url | https://ir.uitm.edu.my/id/eprint/40652/1/40652.pdf https://ir.uitm.edu.my/id/eprint/40652/ |
| url_provider | http://ir.uitm.edu.my/ |