A Fourier spectral method for fractional-in-space Cahn-Hilliard equation

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• 作者：Zhifeng Weng^a ; ^{zfwmath@163.com} ; Shuying Zhai ; ^a ; ^{zhaishuying123456@163.com} ; ^{syzmath@163.com} ; Xinlong Feng^b ; ^{fxlmath@xju.edu.cn}
• 关键词：Fractional-in-space Cahn&ndash ; Hilliard equation ; Periodic and Neumann boundary conditions ; Spectral method ; Crank&ndash ; Nicolson scheme ; Unconditionally energy stable
• 刊名：Applied Mathematical Modelling
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：42
• 期：Complete
• 页码：462-477
• 全文大小：4021 K
• 卷排序：42

文摘

An second-order time-spectral space-scheme for space fractional CH equation. The proposed scheme satisfies mass conservation and energy degradation. The fractional order controls the thickness and the lifetime of the interface. The mean-zero solutions of the space fractional CH equation may be unstable.