论文标题
具有动态边界条件的CAHN-HILLIARD模型的二阶稳定半密度方案
Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions
论文作者
论文摘要
我们研究具有动态边界条件的Cahn-Hilliard方程的数值算法和误差分析。提出了二阶线性和能量稳定方案的二阶，这是一阶稳定方法的扩展。该方案的相应能量稳定性和收敛分析是从理论上得出的。进行了一些数值实验，以验证二阶数值方案的有效性和准确性，包括在各种初始条件和能量电位函数下的数值模拟，以及与文献的比较。
We study the numerical algorithm and error analysis for the Cahn-Hilliard equation with dynamic boundary conditions. A second-order in time, linear and energy stable scheme is proposed, which is an extension of the first-order stabilized approach. The corresponding energy stability and convergence analysis of the scheme are derived theoretically. Some numerical experiments are performed to verify the effectiveness and accuracy of the second-order numerical scheme, including numerical simulations under various initial conditions and energy potential functions, and comparisons with the literature works.
