Numerical study for Cahn-Hilliard equation on a disk

碩士 === 國立交通大學 === 應用數學系數學建模與科學計算碩士班 === 106 === We study a numerical method for the Cahn-Hilliard equation on a unit disk. Then, we discretize the resulting equations on a radial grid by shifting half mesh width in order to avoid the coordinate singularity at origin. Finally, we split the Cahn-Hilli...

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Main Authors: Chang, Wen-Bin, 張文彬
Other Authors: Lai, Ming-Chih
Format: Others
Language:en_US
Published: 2018
Online Access:http://ndltd.ncl.edu.tw/handle/9t4yt6
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spelling ndltd-TW-106NCTU55070352019-11-14T05:35:53Z http://ndltd.ncl.edu.tw/handle/9t4yt6 Numerical study for Cahn-Hilliard equation on a disk 在圓盤上 Cahn-Hilliard 方程的數值研究 Chang, Wen-Bin 張文彬 碩士 國立交通大學 應用數學系數學建模與科學計算碩士班 106 We study a numerical method for the Cahn-Hilliard equation on a unit disk. Then, we discretize the resulting equations on a radial grid by shifting half mesh width in order to avoid the coordinate singularity at origin. Finally, we split the Cahn-Hilliard equation into a coupled system and use truncated Fourier series expansion and this grid discretization to solve the Cahn-Hilliard equation on a disk. Lai, Ming-Chih 賴明治 2018 學位論文 ; thesis 24 en_US
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language en_US
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description 碩士 === 國立交通大學 === 應用數學系數學建模與科學計算碩士班 === 106 === We study a numerical method for the Cahn-Hilliard equation on a unit disk. Then, we discretize the resulting equations on a radial grid by shifting half mesh width in order to avoid the coordinate singularity at origin. Finally, we split the Cahn-Hilliard equation into a coupled system and use truncated Fourier series expansion and this grid discretization to solve the Cahn-Hilliard equation on a disk.
author2 Lai, Ming-Chih
author_facet Lai, Ming-Chih
Chang, Wen-Bin
張文彬
author Chang, Wen-Bin
張文彬
spellingShingle Chang, Wen-Bin
張文彬
Numerical study for Cahn-Hilliard equation on a disk
author_sort Chang, Wen-Bin
title Numerical study for Cahn-Hilliard equation on a disk
title_short Numerical study for Cahn-Hilliard equation on a disk
title_full Numerical study for Cahn-Hilliard equation on a disk
title_fullStr Numerical study for Cahn-Hilliard equation on a disk
title_full_unstemmed Numerical study for Cahn-Hilliard equation on a disk
title_sort numerical study for cahn-hilliard equation on a disk
publishDate 2018
url http://ndltd.ncl.edu.tw/handle/9t4yt6
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