Modified Simpson’s method for numerical integration problem / Nur Khairunnisa Md Khairi
Numerical method can be used to solve complicated integration problem that often occurs in mathematics, data analysis, physics and other fields research. This numerical method is often used when theoretical methods are cumbersome and difficult to implement. Some numerical method for solving integrat...
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2024
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my-uitm-ir.1062222024-11-30T17:27:01Z Modified Simpson’s method for numerical integration problem / Nur Khairunnisa Md Khairi 2024 Md Khairi, Nur Khairunnisa Analytical methods used in the solution of physical problems Numerical method can be used to solve complicated integration problem that often occurs in mathematics, data analysis, physics and other fields research. This numerical method is often used when theoretical methods are cumbersome and difficult to implement. Some numerical method for solving integration problems includes Trapezoidal method, Simpson’s 1/3 method, Trapezium-corrected Simpson’s Method (TCSM) and Cubic-corrected Simpson’s Method (CCSM). This study aims to investigate the behaviour of these numerical methods in solving different integration problem. The performance of each numerical methods is analyze based on percentage of relative error. It is showed that Simpson’s 1/3 is the best method for solving integration problems. 2024 Thesis https://ir.uitm.edu.my/id/eprint/106222/ https://ir.uitm.edu.my/id/eprint/106222/1/106222.pdf text en public degree Universiti Teknologi MARA, Terengganu College of Computing, Informatics and Mathematics Mohd Ali, Mohd Rivaie |
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Universiti Teknologi MARA |
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UiTM Institutional Repository |
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English |
advisor |
Mohd Ali, Mohd Rivaie |
topic |
Analytical methods used in the solution of physical problems |
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Analytical methods used in the solution of physical problems Md Khairi, Nur Khairunnisa Modified Simpson’s method for numerical integration problem / Nur Khairunnisa Md Khairi |
description |
Numerical method can be used to solve complicated integration problem that often occurs in mathematics, data analysis, physics and other fields research. This numerical method is often used when theoretical methods are cumbersome and difficult to implement. Some numerical method for solving integration problems includes Trapezoidal method, Simpson’s 1/3 method, Trapezium-corrected Simpson’s Method (TCSM) and Cubic-corrected Simpson’s Method (CCSM). This study aims to investigate the behaviour of these numerical methods in solving different integration problem. The performance of each numerical methods is analyze based on percentage of relative error. It is showed that Simpson’s 1/3 is the best method for solving integration problems. |
format |
Thesis |
qualification_level |
Bachelor degree |
author |
Md Khairi, Nur Khairunnisa |
author_facet |
Md Khairi, Nur Khairunnisa |
author_sort |
Md Khairi, Nur Khairunnisa |
title |
Modified Simpson’s method for numerical integration problem / Nur Khairunnisa Md Khairi |
title_short |
Modified Simpson’s method for numerical integration problem / Nur Khairunnisa Md Khairi |
title_full |
Modified Simpson’s method for numerical integration problem / Nur Khairunnisa Md Khairi |
title_fullStr |
Modified Simpson’s method for numerical integration problem / Nur Khairunnisa Md Khairi |
title_full_unstemmed |
Modified Simpson’s method for numerical integration problem / Nur Khairunnisa Md Khairi |
title_sort |
modified simpson’s method for numerical integration problem / nur khairunnisa md khairi |
granting_institution |
Universiti Teknologi MARA, Terengganu |
granting_department |
College of Computing, Informatics and Mathematics |
publishDate |
2024 |
url |
https://ir.uitm.edu.my/id/eprint/106222/1/106222.pdf |
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1818588171691098112 |