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Calculation of finite difference method and differential quadrature method for burgers equation

In this study, the finite difference method and differential quadrature method are used to solve the burgers equation. These methods are used to solve some examples of burgers equation. The different number of nodes is used in these methods to investigate in terms of accuracy study. The solutions of...

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Main Author: Ab. Aziz, Amiruddin
Format: Thesis
Language:English
Published: 2014
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/50756/25/AmiruddinABAziz_MFS2014.pdf
http://eprints.utm.my/id/eprint/50756/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86423
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spelling my.utm.507562020-07-12T02:31:39Z http://eprints.utm.my/id/eprint/50756/ Calculation of finite difference method and differential quadrature method for burgers equation Ab. Aziz, Amiruddin QA Mathematics In this study, the finite difference method and differential quadrature method are used to solve the burgers equation. These methods are used to solve some examples of burgers equation. The different number of nodes is used in these methods to investigate in terms of accuracy study. The solutions of these methods are compared in terms of accuracy of the numerical solution. C- language programs have been developed based on the discussion in order to solve the burgers equation. The results of this study are collected to compare the solution in terms of convergence study and the accuracy of the numerical solution. The different number of nodes also can affect the solution in term of accuracy study. Decreasing the number of nodes will increasing the errors of the solution. Generally, from the results between the finite different method and differential quadrature method showed the differential quadrature method is better than the finite different method in terms of accuracy of the numerical solution and in terms of convergence study. 2014-06 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/50756/25/AmiruddinABAziz_MFS2014.pdf Ab. Aziz, Amiruddin (2014) Calculation of finite difference method and differential quadrature method for burgers equation. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86423
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 QA Mathematics
spellingShingle QA Mathematics
Ab. Aziz, Amiruddin
Calculation of finite difference method and differential quadrature method for burgers equation
description In this study, the finite difference method and differential quadrature method are used to solve the burgers equation. These methods are used to solve some examples of burgers equation. The different number of nodes is used in these methods to investigate in terms of accuracy study. The solutions of these methods are compared in terms of accuracy of the numerical solution. C- language programs have been developed based on the discussion in order to solve the burgers equation. The results of this study are collected to compare the solution in terms of convergence study and the accuracy of the numerical solution. The different number of nodes also can affect the solution in term of accuracy study. Decreasing the number of nodes will increasing the errors of the solution. Generally, from the results between the finite different method and differential quadrature method showed the differential quadrature method is better than the finite different method in terms of accuracy of the numerical solution and in terms of convergence study.
format Thesis
author Ab. Aziz, Amiruddin
author_facet Ab. Aziz, Amiruddin
author_sort Ab. Aziz, Amiruddin
title Calculation of finite difference method and differential quadrature method for burgers equation
title_short Calculation of finite difference method and differential quadrature method for burgers equation
title_full Calculation of finite difference method and differential quadrature method for burgers equation
title_fullStr Calculation of finite difference method and differential quadrature method for burgers equation
title_full_unstemmed Calculation of finite difference method and differential quadrature method for burgers equation
title_sort calculation of finite difference method and differential quadrature method for burgers equation
publishDate 2014
url http://eprints.utm.my/id/eprint/50756/25/AmiruddinABAziz_MFS2014.pdf
http://eprints.utm.my/id/eprint/50756/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86423
_version_ 1674066149757681664
score 13.211869

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