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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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 |
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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 |
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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 |
_version_ |
1783734583192190976 |