The Spectral Method for the Cahn-Hilliard Equation with Concentration-Dependent Mobility

Table 1

The error and the convergence order.

ℎ𝑘	err1(0.1,ℎ𝑘)	Order1	err2(0.1,ℎ𝑘)	Order2
0.1×10^−2	0.2441×10^−6	—	0.2114×10^−6	—
0.5×10^−3	0.6332×10^−7	1.9466	0.5414×10^−7	1.9651
0.25×10^−3	0.1186×10^−7	2.4159	0.1115×10^−7	2.2799
0.125×10^−3	0.1938×10^−8	2.6142	0.1901×10^−8	2.5515
0.625×10^−4	0.2504×10^−9	2.9518	0.2483×10^−9	2.9368