To solve the Cahn-Hilliard equation numerically, a new time integration algorithm is proposed, which is based on a combination of the Eyre splitting and the local iteration modified (LIM) scheme. The latter is employed to tackle the implicit system arising each time integration step. The proposed method is gradient-stable and allows to use large time steps, whereas, regarding its computational structure, it is an explicit time integration scheme. Numerical tests are presented to demonstrate abilities of the new method and to compare it with other time integration methods for Cahn-Hilliard equation.

翻译：为数值求解Cahn-Hilliard方程，本文提出了一种基于Eyre分裂与局部迭代修正（LIM）格式相结合的新型时间积分算法。该LIM格式用于处理每个时间积分步中产生的隐式系统。所提方法具有梯度稳定性，允许采用较大时间步长，而从计算结构而言，它属于显式时间积分格式。数值实验展示了新方法的性能，并与Cahn-Hilliard方程的其他时间积分方法进行了比较。