Performance comparison of numerical integration methods for solving complicated integration problems / Wan Ariesha Farhah Wan Asri & Nur Hazwani Dahnan

Solving integration problems is very important as it is commonly appeared in wide range of fields and profession such as physics, mathematics and engineering. There are four known theoretical methods used to solve integration problems which are integration by substitution, integration by trigonometr...

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Main Authors:	Wan Asri, Wan Ariesha Farhah, Dahnan, Nur Hazwani
Format:	Thesis
Language:	English
Published:	2019
Subjects:	Equations Analysis Analytical methods used in the solution of physical problems Algorithms Finite element method
Online Access:	https://ir.uitm.edu.my/id/eprint/41498/1/41498.pdf
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id	my-uitm-ir.41498
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spelling	my-uitm-ir.414982021-02-11T03:50:18Z Performance comparison of numerical integration methods for solving complicated integration problems / Wan Ariesha Farhah Wan Asri & Nur Hazwani Dahnan 2019-07 Wan Asri, Wan Ariesha Farhah Dahnan, Nur Hazwani Equations Mathematical statistics. Probabilities Analysis Analytical methods used in the solution of physical problems Algorithms Finite element method Solving integration problems is very important as it is commonly appeared in wide range of fields and profession such as physics, mathematics and engineering. There are four known theoretical methods used to solve integration problems which are integration by substitution, integration by trigonometric substitution, integration by partial fraction and integration by part. However, these theoretical methods are quite complicated and leads to long and laborious calculation. Therefore, researchers tend to use numerical method which is quite simple and easy. In this project, seven numerical methods that are Trapezoidal Rule, Simpson’s 1/3 Rule, Simpson’s 3/8 Rule, Boole’s Rule, Weddle’s Rule, Durand’s Rule and Hardy’s Rule are chosen to solve complicated integration problems. The error is analyzed using percentage error of both exact and approximate value. The main purpose of this study is to determine the best numerical methods for solving integration problems. 2019-07 Thesis https://ir.uitm.edu.my/id/eprint/41498/ https://ir.uitm.edu.my/id/eprint/41498/1/41498.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Mohd Ali, Mohd Rivaie
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Mohd Ali, Mohd Rivaie
topic	Equations Equations Analysis Analytical methods used in the solution of physical problems Algorithms Finite element method
spellingShingle	Equations Equations Analysis Analytical methods used in the solution of physical problems Algorithms Finite element method Wan Asri, Wan Ariesha Farhah Dahnan, Nur Hazwani Performance comparison of numerical integration methods for solving complicated integration problems / Wan Ariesha Farhah Wan Asri & Nur Hazwani Dahnan
description	Solving integration problems is very important as it is commonly appeared in wide range of fields and profession such as physics, mathematics and engineering. There are four known theoretical methods used to solve integration problems which are integration by substitution, integration by trigonometric substitution, integration by partial fraction and integration by part. However, these theoretical methods are quite complicated and leads to long and laborious calculation. Therefore, researchers tend to use numerical method which is quite simple and easy. In this project, seven numerical methods that are Trapezoidal Rule, Simpson’s 1/3 Rule, Simpson’s 3/8 Rule, Boole’s Rule, Weddle’s Rule, Durand’s Rule and Hardy’s Rule are chosen to solve complicated integration problems. The error is analyzed using percentage error of both exact and approximate value. The main purpose of this study is to determine the best numerical methods for solving integration problems.
format	Thesis
qualification_level	Bachelor degree
author	Wan Asri, Wan Ariesha Farhah Dahnan, Nur Hazwani
author_facet	Wan Asri, Wan Ariesha Farhah Dahnan, Nur Hazwani
author_sort	Wan Asri, Wan Ariesha Farhah
title	Performance comparison of numerical integration methods for solving complicated integration problems / Wan Ariesha Farhah Wan Asri & Nur Hazwani Dahnan
title_short	Performance comparison of numerical integration methods for solving complicated integration problems / Wan Ariesha Farhah Wan Asri & Nur Hazwani Dahnan
title_full	Performance comparison of numerical integration methods for solving complicated integration problems / Wan Ariesha Farhah Wan Asri & Nur Hazwani Dahnan
title_fullStr	Performance comparison of numerical integration methods for solving complicated integration problems / Wan Ariesha Farhah Wan Asri & Nur Hazwani Dahnan
title_full_unstemmed	Performance comparison of numerical integration methods for solving complicated integration problems / Wan Ariesha Farhah Wan Asri & Nur Hazwani Dahnan
title_sort	performance comparison of numerical integration methods for solving complicated integration problems / wan ariesha farhah wan asri & nur hazwani dahnan
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2019
url	https://ir.uitm.edu.my/id/eprint/41498/1/41498.pdf
_version_	1783734642761793536

Performance comparison of numerical integration methods for solving complicated integration problems / Wan Ariesha Farhah Wan Asri & Nur Hazwani Dahnan

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