高阶对流Cahn-Hilliard型方程的二阶线性化差分方法

李娟

A second-order linearized finite difference method for a higher order convective Cahn-Hilliard type equation

Juan LI

表1 当T=5，M=2 000，ε=0.5时，差分格式在L₂-范数和L_∞-范数下的误差和时间收敛阶

Table 1 The errors and temporal convergence orders of the difference scheme in L₂-norm and L_∞-norm when T=5， M=2 000，ε=0.5

H₂（h，τ）

order1

H_∞（h，τ）

order2

2.451×10^-4

1.871

1.510×10^-4

1.859

6.703×10^-5

1.878

4.162×10^-5

1.872

160

1.824×10^-5

4.949×10^-6

1.882

1.137×10^-5

3.113×10^-6

1.869