中文摘要：

针对二维Cahn—Hilliard方程的初边值问题提出了一个便于计算的、半隐的预估一校正谱格式．通过引入两个三线性泛函，克服了非线性项所带来的困难，并用能量方法严格证明了数值解在时间方向具有二阶精度，而在空间方向具有谱精度．

英文摘要：

The initial-boundary value problem of two-dimensional Cahn-Hilliard equation is considered. A semi-implicit prediction-correction Fourier spectral scheme is presented, which is easy to be performed. Two trilinear functions are introduced to deal with the nonlinear term. It is strictly proved by the energy method that the numerical solution possesses the accuracy of second order in time and higher order in space.