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...
Saved in:
Main Author: | |
---|---|
Format: | Thesis |
Language: | English |
Published: |
2011
|
Subjects: | |
Online Access: | http://eprints.utm.my/id/eprint/47987/1/NurAisyahOmarMFS2011.pdf |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
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 |