| 高维非线性Cahn—Hilliard方程的谱方法 |
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| 引用本文： | 康开龙 高虎明. 高维非线性Cahn—Hilliard方程的谱方法[J]. 山西大学学报(自然科学版), 1998, 21(4): 310-314 |
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| 作者姓名： | 康开龙 高虎明 |
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| 作者单位： | 山西省吕梁高等专科学校 |
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| 摘 要： | 考察一类非线性Ｃａｈｎ－Ｈｉｌｉａｒｄ方程的谱方法，构靠了一类有条件稳定的半离散和全离散格式，采用先验估计和Ｓｏｂｏｌｅｖ不等式，证明有了其格式的收敛性与稳定性。
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| 关 键 词： | 非线性Cahn－Hiliard方程，谱方法，收敛性，稳定性 |
Spectral Method for HigherDimensional Nonlinear Cahn-Hilliard Equation |
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| Kang Kailong Gao Huming Liang Zhongqi. Spectral Method for HigherDimensional Nonlinear Cahn-Hilliard Equation[J]. Journal of Shanxi University (Natural Science Edit, 1998, 21(4): 310-314 |
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| Authors: | Kang Kailong Gao Huming Liang Zhongqi |
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| Abstract: | In this paper, semi-discrete spectral scheme and fully discrete spectral scheme for the Cahn-Hilliard equations are given. Convergence and stability for these schemes are proved. Moreover, their error analysises are studied. |
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| Keywords: | nonlinear Cahn-Hilliard equation spectral method convergence and stability |
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