非线性Cahn-Hilliard方程的拟谱算法

Pseudo-Spectral Approximations for a Nonlinear Cahn-Hilliard Equation

中文关键词:  非线性Cahn-Hilliard方程  拟谱格式  误差估计  快速Fourier变换.

英文关键词:nonlinear Cahn-Hilliard equation  pseudo-spectral approximations error estimation  FFT.

中文摘要:

      本文对非线性Cahn-Hilliard方程构造了拟谱格式,证明了该格式的收敛性和稳定性,给出了数值例子.

英文摘要:

      In this paper, the pseudo-spectral approximation for a nonlinear Cahn-Hilliard equation is presented. Covergence and stability of the approximation have been proved. Finally, numerical examples are proposed.