【摘要】：研究對流Cahn-Hilliard方程的高精度有限差分方法.給出三層線性化緊差分格式及其解的存在唯一性,利用能量分析方法證明數(shù)值解在L_∞范數(shù)下時間方向二階、空間方向四階收斂.最后通過數(shù)值算例,驗證差分格式是有效的.
[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，

本文編號：2492584