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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| Format: | Others |
| Language: | en_US |
| Published: |
2018
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| Online Access: | http://ndltd.ncl.edu.tw/handle/9t4yt6 |
| Summary: | 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.
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