Performance comparision of numerical method for finding the approximation of double integral / Nurul Wahida Alias

This is a comprehensive study to solve double integration problems. This is very important as it commonly appeared in wide range of fields and profession such as physics, mathematics and engineering. Double integration can be solving manually. But it is sometimes can be very long to solve. Therefore...

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Main Author:	Alias, Nurul Wahida
Format:	Thesis
Language:	English
Published:	2021
Subjects:	Equations Data processing Analysis Analytical methods used in the solution of physical problems
Online Access:	https://ir.uitm.edu.my/id/eprint/77913/1/77913.pdf
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id	my-uitm-ir.77913
record_format	uketd_dc
spelling	my-uitm-ir.779132023-05-22T05:00:09Z Performance comparision of numerical method for finding the approximation of double integral / Nurul Wahida Alias 2021-01 Alias, Nurul Wahida Equations Mathematical statistics. Probabilities Data processing Analysis Analytical methods used in the solution of physical problems This is a comprehensive study to solve double integration problems. This is very important as it commonly appeared in wide range of fields and profession such as physics, mathematics and engineering. Double integration can be solving manually. But it is sometimes can be very long to solve. Therefore, researchers tend to use numerical methods which are quite simple and easy. In this project, four numerical methods were used to solve the complicated problems. The first method is Trapezoidal Rule. Next is Simpson’s 1/3 Rule, Simpson’s 3/8 Rule and Weddle’s Rule. This project will use the methods for both layer of the integration since the double integration is consisting of 2 exist which are x – exist and y – exist of integration to solve the integration problem. The technique may be iterated to solve the problem (Candy, J, 1985). As the result, the error is analyses using percentage error of both exact and approximate value. The main purpose of this study is to determine the best numerical methods for solving double integration problems. 2021-01 Thesis https://ir.uitm.edu.my/id/eprint/77913/ https://ir.uitm.edu.my/id/eprint/77913/1/77913.pdf text en public degree Universiti Teknologi MARA, Terengganu 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 Data processing Analysis Analytical methods used in the solution of physical problems
spellingShingle	Equations Equations Data processing Analysis Analytical methods used in the solution of physical problems Alias, Nurul Wahida Performance comparision of numerical method for finding the approximation of double integral / Nurul Wahida Alias
description	This is a comprehensive study to solve double integration problems. This is very important as it commonly appeared in wide range of fields and profession such as physics, mathematics and engineering. Double integration can be solving manually. But it is sometimes can be very long to solve. Therefore, researchers tend to use numerical methods which are quite simple and easy. In this project, four numerical methods were used to solve the complicated problems. The first method is Trapezoidal Rule. Next is Simpson’s 1/3 Rule, Simpson’s 3/8 Rule and Weddle’s Rule. This project will use the methods for both layer of the integration since the double integration is consisting of 2 exist which are x – exist and y – exist of integration to solve the integration problem. The technique may be iterated to solve the problem (Candy, J, 1985). As the result, the error is analyses using percentage error of both exact and approximate value. The main purpose of this study is to determine the best numerical methods for solving double integration problems.
format	Thesis
qualification_level	Bachelor degree
author	Alias, Nurul Wahida
author_facet	Alias, Nurul Wahida
author_sort	Alias, Nurul Wahida
title	Performance comparision of numerical method for finding the approximation of double integral / Nurul Wahida Alias
title_short	Performance comparision of numerical method for finding the approximation of double integral / Nurul Wahida Alias
title_full	Performance comparision of numerical method for finding the approximation of double integral / Nurul Wahida Alias
title_fullStr	Performance comparision of numerical method for finding the approximation of double integral / Nurul Wahida Alias
title_full_unstemmed	Performance comparision of numerical method for finding the approximation of double integral / Nurul Wahida Alias
title_sort	performance comparision of numerical method for finding the approximation of double integral / nurul wahida alias
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2021
url	https://ir.uitm.edu.my/id/eprint/77913/1/77913.pdf
_version_	1783736180902199296

Performance comparision of numerical method for finding the approximation of double integral / Nurul Wahida Alias

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