对流Cahn-Hilliard方程的高精度有限差分方法
发布时间：2019-06-04 08:07
【摘要】：研究对流Cahn-Hilliard方程的高精度有限差分方法.给出三层线性化紧差分格式及其解的存在唯一性,利用能量分析方法证明数值解在L_∞范数下时间方向二阶、空间方向四阶收敛.最后通过数值算例,验证差分格式是有效的.
[Abstract]:The high precision finite difference method for convective Cahn-Hilliard equation is studied. In this paper, the three-layer linear compact difference scheme and the existence and uniqueness of its solution are given. by using the energy analysis method, it is proved that the numerical solution converges in the second order of time direction and the fourth order of spatial direction under L _ 鈭，
本文编号：2492584
[Abstract]:The high precision finite difference method for convective Cahn-Hilliard equation is studied. In this paper, the three-layer linear compact difference scheme and the existence and uniqueness of its solution are given. by using the energy analysis method, it is proved that the numerical solution converges in the second order of time direction and the fourth order of spatial direction under L _ 鈭，
本文编号：2492584
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