Application of FEM and FDM in solving 2D irregular geometry heat transfer problem
The study will focus on the application of finite element method (FEM) in solving two dimensional irregular geometry heat transfer problem. FEM is known as one of the numerical technique for finding approximate solutions to boundary value problems for differential equation. Therefore this method is...
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| 格式: | Thesis |
| 語言: | 英语 |
| 出版: |
2014
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| 主題: | |
| 在線閱讀: | http://eprints.utm.my/53450/25/NoorSyazanaNgarisanMFS2014.pdf |
| _version_ | 1846217497665077248 |
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| author | Ngarisan, Noor Syazana |
| author_facet | Ngarisan, Noor Syazana |
| author_sort | Ngarisan, Noor Syazana |
| description | The study will focus on the application of finite element method (FEM) in solving two dimensional irregular geometry heat transfer problem. FEM is known as one of the numerical technique for finding approximate solutions to boundary value problems for differential equation. Therefore this method is a perfect application to solve a parabolic partial differential equation such as heat equation that describes the distribution of heat in a given region over time. In order to minimize an error function and produce a stable solution, FEM uses variation method or also known as the calculus of variations. All the solutions to this method related to the given problem will be compared with the solution from another popular numerical method which is finite difference method (FDM). FDM is also very useful in approximating the solutions to differential equation. However the application is limited to regular geometry and simple irregular geometry problems. The comparison of the solutions from these two methods will confirm that FEM is a better choice in solving two dimensional irregular geometry problems involving heat transfer. |
| format | Thesis |
| id | uthm-53450 |
| institution | Universiti Teknologi Malaysia |
| language | English |
| publishDate | 2014 |
| record_format | eprints |
| spelling | uthm-534502020-07-15T02:27:58Z http://eprints.utm.my/53450/ Application of FEM and FDM in solving 2D irregular geometry heat transfer problem Ngarisan, Noor Syazana QA Mathematics The study will focus on the application of finite element method (FEM) in solving two dimensional irregular geometry heat transfer problem. FEM is known as one of the numerical technique for finding approximate solutions to boundary value problems for differential equation. Therefore this method is a perfect application to solve a parabolic partial differential equation such as heat equation that describes the distribution of heat in a given region over time. In order to minimize an error function and produce a stable solution, FEM uses variation method or also known as the calculus of variations. All the solutions to this method related to the given problem will be compared with the solution from another popular numerical method which is finite difference method (FDM). FDM is also very useful in approximating the solutions to differential equation. However the application is limited to regular geometry and simple irregular geometry problems. The comparison of the solutions from these two methods will confirm that FEM is a better choice in solving two dimensional irregular geometry problems involving heat transfer. 2014-06 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/53450/25/NoorSyazanaNgarisanMFS2014.pdf Ngarisan, Noor Syazana (2014) Application of FEM and FDM in solving 2D irregular geometry heat transfer problem. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:85440 |
| spellingShingle | QA Mathematics Ngarisan, Noor Syazana Application of FEM and FDM in solving 2D irregular geometry heat transfer problem |
| title | Application of FEM and FDM in solving 2D irregular geometry heat transfer problem |
| title_full | Application of FEM and FDM in solving 2D irregular geometry heat transfer problem |
| title_fullStr | Application of FEM and FDM in solving 2D irregular geometry heat transfer problem |
| title_full_unstemmed | Application of FEM and FDM in solving 2D irregular geometry heat transfer problem |
| title_short | Application of FEM and FDM in solving 2D irregular geometry heat transfer problem |
| title_sort | application of fem and fdm in solving 2d irregular geometry heat transfer problem |
| topic | QA Mathematics |
| url | http://eprints.utm.my/53450/25/NoorSyazanaNgarisanMFS2014.pdf |
| url-record | http://eprints.utm.my/53450/ http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:85440 |
| work_keys_str_mv | AT ngarisannoorsyazana applicationoffemandfdminsolving2dirregulargeometryheattransferproblem |