Three-dimensional homogeneous heat equation in rectangular coordinates / Norafifi Najwa Wira

Heat equation is a parabolic partial differential equation that describes the variation of temperature with respect to time over a given region. Generally, heat transfer through a medium in three-dimensional. This project deals with the derivation of three- dimensional homogeneous heat equation in r...

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Main Author: Wira, Norafifi Najwa
Format: Thesis
Language:English
Published: 2017
Subjects:
Online Access:https://ir.uitm.edu.my/id/eprint/40596/1/40596.pdf
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spelling my-uitm-ir.405962021-01-18T02:30:27Z Three-dimensional homogeneous heat equation in rectangular coordinates / Norafifi Najwa Wira 2017-07 Wira, Norafifi Najwa Mathematical statistics. Probabilities Analytical methods used in the solution of physical problems Difference equations. Functional equations. Delay differential equations. Integral equations Heat equation is a parabolic partial differential equation that describes the variation of temperature with respect to time over a given region. Generally, heat transfer through a medium in three-dimensional. This project deals with the derivation of three- dimensional homogeneous heat equation in rectangular coordinates with different boundary conditions. In addition, Fourier series is also used to find the coefficients in order to obtain solution of heat equation. Therefore, the solution of homogeneous heat equation in solid cuboid can be obtained using the separation of variables method. 2017-07 Thesis https://ir.uitm.edu.my/id/eprint/40596/ https://ir.uitm.edu.my/id/eprint/40596/1/40596.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Ramli, Abdul Rahim
institution Universiti Teknologi MARA
collection UiTM Institutional Repository
language English
advisor Ramli, Abdul Rahim
topic Mathematical statistics
Probabilities
Analytical methods used in the solution of physical problems
Mathematical statistics
Probabilities
spellingShingle Mathematical statistics
Probabilities
Analytical methods used in the solution of physical problems
Mathematical statistics
Probabilities
Wira, Norafifi Najwa
Three-dimensional homogeneous heat equation in rectangular coordinates / Norafifi Najwa Wira
description Heat equation is a parabolic partial differential equation that describes the variation of temperature with respect to time over a given region. Generally, heat transfer through a medium in three-dimensional. This project deals with the derivation of three- dimensional homogeneous heat equation in rectangular coordinates with different boundary conditions. In addition, Fourier series is also used to find the coefficients in order to obtain solution of heat equation. Therefore, the solution of homogeneous heat equation in solid cuboid can be obtained using the separation of variables method.
format Thesis
qualification_level Bachelor degree
author Wira, Norafifi Najwa
author_facet Wira, Norafifi Najwa
author_sort Wira, Norafifi Najwa
title Three-dimensional homogeneous heat equation in rectangular coordinates / Norafifi Najwa Wira
title_short Three-dimensional homogeneous heat equation in rectangular coordinates / Norafifi Najwa Wira
title_full Three-dimensional homogeneous heat equation in rectangular coordinates / Norafifi Najwa Wira
title_fullStr Three-dimensional homogeneous heat equation in rectangular coordinates / Norafifi Najwa Wira
title_full_unstemmed Three-dimensional homogeneous heat equation in rectangular coordinates / Norafifi Najwa Wira
title_sort three-dimensional homogeneous heat equation in rectangular coordinates / norafifi najwa wira
granting_institution Universiti Teknologi MARA
granting_department Faculty of Computer and Mathematical Sciences
publishDate 2017
url https://ir.uitm.edu.my/id/eprint/40596/1/40596.pdf
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