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A study of heat equation using separable variable method / Arifah Abdul Aziz, Nurulhuda Ayub and Nurul Syahera Mohd Razif

During the last few decades, several interesting studies have been performed to investigate the applications of the partial differential equations (PDEs). Heat equation is one of the most famous partial differential equations. It has great importance not only in physics but also in many other fields...

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Main Authors: Abdul Aziz, Arifah, Ayub, Nurulhuda, Mohd Razif, Nurul Syahera
Format: Student Project
Language:English
Published: 2023
Subjects:
Mathematical statistics. Probabilities
Online Access:https://ir.uitm.edu.my/id/eprint/83434/1/83434.pdf
https://ir.uitm.edu.my/id/eprint/83434/
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spelling my.uitm.ir.834342023-09-14T04:58:42Z https://ir.uitm.edu.my/id/eprint/83434/ A study of heat equation using separable variable method / Arifah Abdul Aziz, Nurulhuda Ayub and Nurul Syahera Mohd Razif Abdul Aziz, Arifah Ayub, Nurulhuda Mohd Razif, Nurul Syahera Mathematical statistics. Probabilities During the last few decades, several interesting studies have been performed to investigate the applications of the partial differential equations (PDEs). Heat equation is one of the most famous partial differential equations. It has great importance not only in physics but also in many other fields. To introduce PDEs, specifically to study on the heat equation, this study is going to solve a simple problem which a function of space and time with different initial and boundary conditions. In this study, the objectives are to solve the heat equation using separable variable method with different boundary condition, to verify the solution of heat equation model with respect to time, and to compare the results based on previous study (Morales et al., 2021). To solve the heat equation, partial differential equation which is non-homogeneous model was used. The method of solving is using separable variable method. All the data will be substitute in the partial differential equation to get the temperature equation. Moreover, to verify the solution of the heat equation model with respect to time, Maple Software was used as aid. The result and discussion of current study and previous study has been compared. As the result of the comparison, both study shows the decreasing and increasing graph for both problem due to inconsistent temperature. This study provides useful information for future research studies into diverse heat transmission. 2023 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/83434/1/83434.pdf A study of heat equation using separable variable method / Arifah Abdul Aziz, Nurulhuda Ayub and Nurul Syahera Mohd Razif. (2023) [Student Project] (Unpublished)
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Mathematical statistics. Probabilities
spellingShingle Mathematical statistics. Probabilities
Abdul Aziz, Arifah
Ayub, Nurulhuda
Mohd Razif, Nurul Syahera
A study of heat equation using separable variable method / Arifah Abdul Aziz, Nurulhuda Ayub and Nurul Syahera Mohd Razif
description During the last few decades, several interesting studies have been performed to investigate the applications of the partial differential equations (PDEs). Heat equation is one of the most famous partial differential equations. It has great importance not only in physics but also in many other fields. To introduce PDEs, specifically to study on the heat equation, this study is going to solve a simple problem which a function of space and time with different initial and boundary conditions. In this study, the objectives are to solve the heat equation using separable variable method with different boundary condition, to verify the solution of heat equation model with respect to time, and to compare the results based on previous study (Morales et al., 2021). To solve the heat equation, partial differential equation which is non-homogeneous model was used. The method of solving is using separable variable method. All the data will be substitute in the partial differential equation to get the temperature equation. Moreover, to verify the solution of the heat equation model with respect to time, Maple Software was used as aid. The result and discussion of current study and previous study has been compared. As the result of the comparison, both study shows the decreasing and increasing graph for both problem due to inconsistent temperature. This study provides useful information for future research studies into diverse heat transmission.
format Student Project
author Abdul Aziz, Arifah
Ayub, Nurulhuda
Mohd Razif, Nurul Syahera
author_facet Abdul Aziz, Arifah
Ayub, Nurulhuda
Mohd Razif, Nurul Syahera
author_sort Abdul Aziz, Arifah
title A study of heat equation using separable variable method / Arifah Abdul Aziz, Nurulhuda Ayub and Nurul Syahera Mohd Razif
title_short A study of heat equation using separable variable method / Arifah Abdul Aziz, Nurulhuda Ayub and Nurul Syahera Mohd Razif
title_full A study of heat equation using separable variable method / Arifah Abdul Aziz, Nurulhuda Ayub and Nurul Syahera Mohd Razif
title_fullStr A study of heat equation using separable variable method / Arifah Abdul Aziz, Nurulhuda Ayub and Nurul Syahera Mohd Razif
title_full_unstemmed A study of heat equation using separable variable method / Arifah Abdul Aziz, Nurulhuda Ayub and Nurul Syahera Mohd Razif
title_sort study of heat equation using separable variable method / arifah abdul aziz, nurulhuda ayub and nurul syahera mohd razif
publishDate 2023
url https://ir.uitm.edu.my/id/eprint/83434/1/83434.pdf
https://ir.uitm.edu.my/id/eprint/83434/
_version_ 1778165945326370816
score 13.211869

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