Numerical Studies on the Allen-Cahn and Cahn-Hilliard Equations

碩士 === 國立交通大學 === 應用數學系所 === 95 === We propose simple finite difference schemes with fast and stable computations for the Allen-Cahn equation with solving tri-diagonal matrices. We also deal this with the Cahn-Hilliard equation in a similar way. We introduce a special splitting method for the Alle...

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Main Authors:	Kuan-Yu Chen, 陳冠羽
Other Authors:	Ming-Chih Lai
Format:	Others
Language:	en_US
Published:	2007
Online Access:	http://ndltd.ncl.edu.tw/handle/64097028751266824811

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spelling	ndltd-TW-095NCTU55070292015-10-13T16:14:04Z http://ndltd.ncl.edu.tw/handle/64097028751266824811 Numerical Studies on the Allen-Cahn and Cahn-Hilliard Equations Allen-Cahn與Cahn-Hilliard方程的數值研究 Kuan-Yu Chen 陳冠羽碩士國立交通大學應用數學系所 95 We propose simple finite difference schemes with fast and stable computations for the Allen-Cahn equation with solving tri-diagonal matrices. We also deal this with the Cahn-Hilliard equation in a similar way. We introduce a special splitting method for the Allen-Cahn equation in advantage of applying fast Fourier transform. Mass-conservation modification for the Allen-Cahn equation is provided. And we apply these methods to compute the mixture problem of two incompressible fluids. Ming-Chih Lai 賴明治 2007 學位論文 ; thesis 23 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立交通大學 === 應用數學系所 === 95 === We propose simple finite difference schemes with fast and stable computations for the Allen-Cahn equation with solving tri-diagonal matrices. We also deal this with the Cahn-Hilliard equation in a similar way. We introduce a special splitting method for the Allen-Cahn equation in advantage of applying fast Fourier transform. Mass-conservation modification for the Allen-Cahn equation is provided. And we apply these methods to compute the mixture problem of two incompressible fluids.
author2	Ming-Chih Lai
author_facet	Ming-Chih Lai Kuan-Yu Chen 陳冠羽
author	Kuan-Yu Chen 陳冠羽
spellingShingle	Kuan-Yu Chen 陳冠羽 Numerical Studies on the Allen-Cahn and Cahn-Hilliard Equations
author_sort	Kuan-Yu Chen
title	Numerical Studies on the Allen-Cahn and Cahn-Hilliard Equations
title_short	Numerical Studies on the Allen-Cahn and Cahn-Hilliard Equations
title_full	Numerical Studies on the Allen-Cahn and Cahn-Hilliard Equations
title_fullStr	Numerical Studies on the Allen-Cahn and Cahn-Hilliard Equations
title_full_unstemmed	Numerical Studies on the Allen-Cahn and Cahn-Hilliard Equations
title_sort	numerical studies on the allen-cahn and cahn-hilliard equations
publishDate	2007
url	http://ndltd.ncl.edu.tw/handle/64097028751266824811
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Numerical Studies on the Allen-Cahn and Cahn-Hilliard Equations

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