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The application of finite element method in burgers’ equation

The main objective of this project is to provide the explanation of the application of Finite Element method in 1- dimensional Burgers’ equation. Burgers’ equation captures very important phenomena surrounding world. Its can be categorized as a parabolic, elliptic and hyperbolic partial differential...

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Main Author: Adnan, Nurul Akidah
Format: Thesis
Language:English
Published: 2013
Subjects:
Q Science (General)
Online Access:http://eprints.utm.my/id/eprint/47934/25/NurulAkidahAdnanMFS2013.pdf
http://eprints.utm.my/id/eprint/47934/
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spelling my.utm.479342017-07-11T01:23:43Z http://eprints.utm.my/id/eprint/47934/ The application of finite element method in burgers’ equation Adnan, Nurul Akidah Q Science (General) The main objective of this project is to provide the explanation of the application of Finite Element method in 1- dimensional Burgers’ equation. Burgers’ equation captures very important phenomena surrounding world. Its can be categorized as a parabolic, elliptic and hyperbolic partial differential equation. For this reason, Burgers equation is often used as a case study for testing and comparing computational technique. The 1- dimension Burgers’ equation is investigated and their results are compared with analytical solution of the problem. To solve the problem in finite element method, few concept are introduced such that calculus of variation, weight function, and weak formulation. A brief explaination of the calculation using Finite Element Method (FEM) is given. In this research, the Finite Element method algorithm is written in Matlab and Maple programme. Based on the numerical results, we can see from the behaviour of the graph , the solution is approching some limit as we increased the number of Reynolds. The error between numerical and analytical result becomes larger. We cay say that , FEM is a unique and useful technique and it is being extended to solve many problem in engineering and science area. 2013-06 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/47934/25/NurulAkidahAdnanMFS2013.pdf Adnan, Nurul Akidah (2013) The application of finite element method in burgers’ equation. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic Q Science (General)
spellingShingle Q Science (General)
Adnan, Nurul Akidah
The application of finite element method in burgers’ equation
description The main objective of this project is to provide the explanation of the application of Finite Element method in 1- dimensional Burgers’ equation. Burgers’ equation captures very important phenomena surrounding world. Its can be categorized as a parabolic, elliptic and hyperbolic partial differential equation. For this reason, Burgers equation is often used as a case study for testing and comparing computational technique. The 1- dimension Burgers’ equation is investigated and their results are compared with analytical solution of the problem. To solve the problem in finite element method, few concept are introduced such that calculus of variation, weight function, and weak formulation. A brief explaination of the calculation using Finite Element Method (FEM) is given. In this research, the Finite Element method algorithm is written in Matlab and Maple programme. Based on the numerical results, we can see from the behaviour of the graph , the solution is approching some limit as we increased the number of Reynolds. The error between numerical and analytical result becomes larger. We cay say that , FEM is a unique and useful technique and it is being extended to solve many problem in engineering and science area.
format Thesis
author Adnan, Nurul Akidah
author_facet Adnan, Nurul Akidah
author_sort Adnan, Nurul Akidah
title The application of finite element method in burgers’ equation
title_short The application of finite element method in burgers’ equation
title_full The application of finite element method in burgers’ equation
title_fullStr The application of finite element method in burgers’ equation
title_full_unstemmed The application of finite element method in burgers’ equation
title_sort application of finite element method in burgers’ equation
publishDate 2013
url http://eprints.utm.my/id/eprint/47934/25/NurulAkidahAdnanMFS2013.pdf
http://eprints.utm.my/id/eprint/47934/
_version_ 1643652409919012864
score 13.211869

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