Application of smoothed particle hydrodynamics method in two-dimensional heat equation

Solution to the two-dimensional (2D) heat equation has been done by many researchers earlier. Numerical methods always being used in solving 2D heat equation. The usual numerical method being chosen is the finite difference techniques such as explicit finite difference method, Crank-Nicolson method...

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Main Author:	Omar, Nur Aisyah
Format:	Thesis
Language:	English
Published:	2011
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/47987/1/NurAisyahOmarMFS2011.pdf
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id	my-utm-ep.47987
record_format	uketd_dc
spelling	my-utm-ep.479872018-05-30T03:57:53Z Application of smoothed particle hydrodynamics method in two-dimensional heat equation 2011-05 Omar, Nur Aisyah QA Mathematics Solution to the two-dimensional (2D) heat equation has been done by many researchers earlier. Numerical methods always being used in solving 2D heat equation. The usual numerical method being chosen is the finite difference techniques such as explicit finite difference method, Crank-Nicolson method and alternating direction implicit (ADI) method. However, in this research, the smoothed particle hydrodynamics (SPH) method is chosen and being studied to be applied in solving the 2D heat equation. The algorithm for SPH method is also being developed. As for making the comparisons to study on the accuracy of SPH method, 2D heat equation also being solved using ADI method. FORTRAN programming is used as a calculation medium for both the ADI and SPH method. 2011-05 Thesis http://eprints.utm.my/id/eprint/47987/ http://eprints.utm.my/id/eprint/47987/1/NurAisyahOmarMFS2011.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 Omar, Nur Aisyah Application of smoothed particle hydrodynamics method in two-dimensional heat equation
description	Solution to the two-dimensional (2D) heat equation has been done by many researchers earlier. Numerical methods always being used in solving 2D heat equation. The usual numerical method being chosen is the finite difference techniques such as explicit finite difference method, Crank-Nicolson method and alternating direction implicit (ADI) method. However, in this research, the smoothed particle hydrodynamics (SPH) method is chosen and being studied to be applied in solving the 2D heat equation. The algorithm for SPH method is also being developed. As for making the comparisons to study on the accuracy of SPH method, 2D heat equation also being solved using ADI method. FORTRAN programming is used as a calculation medium for both the ADI and SPH method.
format	Thesis
qualification_level	Master's degree
author	Omar, Nur Aisyah
author_facet	Omar, Nur Aisyah
author_sort	Omar, Nur Aisyah
title	Application of smoothed particle hydrodynamics method in two-dimensional heat equation
title_short	Application of smoothed particle hydrodynamics method in two-dimensional heat equation
title_full	Application of smoothed particle hydrodynamics method in two-dimensional heat equation
title_fullStr	Application of smoothed particle hydrodynamics method in two-dimensional heat equation
title_full_unstemmed	Application of smoothed particle hydrodynamics method in two-dimensional heat equation
title_sort	application of smoothed particle hydrodynamics method in two-dimensional heat equation
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2011
url	http://eprints.utm.my/id/eprint/47987/1/NurAisyahOmarMFS2011.pdf
_version_	1747817280197099520

Application of smoothed particle hydrodynamics method in two-dimensional heat equation

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