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:
Online Access:http://eprints.utm.my/id/eprint/50756/25/AmiruddinABAziz_MFS2014.pdf
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spelling my-utm-ep.507562020-07-12T02:31:39Z Calculation of finite difference method and differential quadrature method for burgers equation 2014-06 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 http://eprints.utm.my/id/eprint/50756/ http://eprints.utm.my/id/eprint/50756/25/AmiruddinABAziz_MFS2014.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86423 masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution Universiti Teknologi Malaysia
collection UTM Institutional Repository
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
qualification_level Master's degree
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
granting_institution Universiti Teknologi Malaysia, Faculty of Science
granting_department Faculty of Science
publishDate 2014
url http://eprints.utm.my/id/eprint/50756/25/AmiruddinABAziz_MFS2014.pdf
_version_ 1747817527333879808