The Spectral Method for the Cahn-Hilliard Equation with Concentration-Dependent Mobility
This paper is concerned with the numerical approximations of the Cahn-Hilliard-type equation with concentration-dependent mobility. Convergence analysis and error estimates are presented for the numerical solutions based on the spectral method for the space and the implicit Euler method for the time...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/808216 |
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| _version_ | 1832565188410212352 |
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| author | Shimin Chai Yongkui Zou |
| author_facet | Shimin Chai Yongkui Zou |
| author_sort | Shimin Chai |
| collection | DOAJ |
| description | This paper is concerned with the numerical approximations of the Cahn-Hilliard-type equation with concentration-dependent mobility. Convergence analysis and error estimates are presented for the numerical solutions based on the spectral method for the space and the implicit Euler method for the time. Numerical experiments are carried out to illustrate the theoretical analysis. |
| format | Article |
| id | doaj-art-a82400db601647a7aa8f3b0120614ed0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a82400db601647a7aa8f3b0120614ed02025-02-03T01:09:08ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/808216808216The Spectral Method for the Cahn-Hilliard Equation with Concentration-Dependent MobilityShimin Chai0Yongkui Zou1Department of Mathematics, Jilin University, Changchun 130012, ChinaDepartment of Mathematics, Jilin University, Changchun 130012, ChinaThis paper is concerned with the numerical approximations of the Cahn-Hilliard-type equation with concentration-dependent mobility. Convergence analysis and error estimates are presented for the numerical solutions based on the spectral method for the space and the implicit Euler method for the time. Numerical experiments are carried out to illustrate the theoretical analysis.http://dx.doi.org/10.1155/2012/808216 |
| spellingShingle | Shimin Chai Yongkui Zou The Spectral Method for the Cahn-Hilliard Equation with Concentration-Dependent Mobility Journal of Applied Mathematics |
| title | The Spectral Method for the Cahn-Hilliard Equation with Concentration-Dependent Mobility |
| title_full | The Spectral Method for the Cahn-Hilliard Equation with Concentration-Dependent Mobility |
| title_fullStr | The Spectral Method for the Cahn-Hilliard Equation with Concentration-Dependent Mobility |
| title_full_unstemmed | The Spectral Method for the Cahn-Hilliard Equation with Concentration-Dependent Mobility |
| title_short | The Spectral Method for the Cahn-Hilliard Equation with Concentration-Dependent Mobility |
| title_sort | spectral method for the cahn hilliard equation with concentration dependent mobility |
| url | http://dx.doi.org/10.1155/2012/808216 |
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