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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Main Author: Md Khairi, Nur Khairunnisa
Format: Thesis
Language:English
Published: 2024
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Online Access:https://ir.uitm.edu.my/id/eprint/106222/1/106222.pdf
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spelling 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
institution Universiti Teknologi MARA
collection UiTM Institutional Repository
language English
advisor Mohd Ali, Mohd Rivaie
topic Analytical methods used in the solution of physical problems
spellingShingle 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
_version_ 1818588171691098112