VIM and FDM for solving boltzmann equation of self-gravitating gas-dust system

In this research, Boltzmann equation of Self-Gravitating Gas-Dust System is introduced. The model consists of dust component equations, gas dynamics equations and also Poisson equation. The mathematical model is used in order to visualize the movement of the gas and dust in environment. This researc...

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Main Author:	Awang, Nor Aziran
Format:	Thesis
Language:	English
Published:	2013
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/33306/5/NorAziranAwangMFS2013.pdf
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id	my-utm-ep.33306
record_format	uketd_dc
spelling	my-utm-ep.333062021-05-10T12:10:47Z VIM and FDM for solving boltzmann equation of self-gravitating gas-dust system 2013-01 Awang, Nor Aziran QA Mathematics In this research, Boltzmann equation of Self-Gravitating Gas-Dust System is introduced. The model consists of dust component equations, gas dynamics equations and also Poisson equation. The mathematical model is used in order to visualize the movement of the gas and dust in environment. This research only focuses on sequential algorithm and solving the model in 2 Dimension (2-D). Numerical solutions obtained by using the Variational Iteration Method (VIM) and Finite Difference Method (FDM). The results are computed by using Borland C++ Builder, MATLAB 2008a and MAPLE 13. Then, the graphs are visualized by using Microsoft excel. The result is based on numerical analysis. Numerical analysis under consideration is pattern of the graph, gradient of the graph, time execution and computational complexity. The movement of the gas-dust showed differently with the different method. At the end, the results show that the VIM and FDM are successfully in visualizing the movement of the gas-dust in reality. Based on theoretically, VIM is in solving gas-dust problem compared to FDM. 2013-01 Thesis http://eprints.utm.my/id/eprint/33306/ http://eprints.utm.my/id/eprint/33306/5/NorAziranAwangMFS2013.pdf application/pdf en public 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 Awang, Nor Aziran VIM and FDM for solving boltzmann equation of self-gravitating gas-dust system
description	In this research, Boltzmann equation of Self-Gravitating Gas-Dust System is introduced. The model consists of dust component equations, gas dynamics equations and also Poisson equation. The mathematical model is used in order to visualize the movement of the gas and dust in environment. This research only focuses on sequential algorithm and solving the model in 2 Dimension (2-D). Numerical solutions obtained by using the Variational Iteration Method (VIM) and Finite Difference Method (FDM). The results are computed by using Borland C++ Builder, MATLAB 2008a and MAPLE 13. Then, the graphs are visualized by using Microsoft excel. The result is based on numerical analysis. Numerical analysis under consideration is pattern of the graph, gradient of the graph, time execution and computational complexity. The movement of the gas-dust showed differently with the different method. At the end, the results show that the VIM and FDM are successfully in visualizing the movement of the gas-dust in reality. Based on theoretically, VIM is in solving gas-dust problem compared to FDM.
format	Thesis
qualification_level	Master's degree
author	Awang, Nor Aziran
author_facet	Awang, Nor Aziran
author_sort	Awang, Nor Aziran
title	VIM and FDM for solving boltzmann equation of self-gravitating gas-dust system
title_short	VIM and FDM for solving boltzmann equation of self-gravitating gas-dust system
title_full	VIM and FDM for solving boltzmann equation of self-gravitating gas-dust system
title_fullStr	VIM and FDM for solving boltzmann equation of self-gravitating gas-dust system
title_full_unstemmed	VIM and FDM for solving boltzmann equation of self-gravitating gas-dust system
title_sort	vim and fdm for solving boltzmann equation of self-gravitating gas-dust system
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2013
url	http://eprints.utm.my/id/eprint/33306/5/NorAziranAwangMFS2013.pdf
_version_	1747816129621917696

VIM and FDM for solving boltzmann equation of self-gravitating gas-dust system

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