A Novel Second-Order and Unconditionally Energy Stable Numerical Scheme for Allen–Cahn Equation

Table 1

Numerical error and convergence order for 2D AC equation.

	-error	Order	-error	Order
0.1	6.6813E-02	-	2.8594E-01	-
0.02	2.9463E-03	1.9394	1.3413E-02	1.9009
0.01	7.1127E-04	2.0504	3.2606E-03	2.0404
0.002	2.7408E-05	2.0232	1.2630E-04	2.0199
0.001	6.8161E-06	2.0075	3.1430E-05	2.0066
0.0002	2.7147E-07	2.0026	1.2524E-06	2.0023
0.0001	6.7832E-08	2.0007	3.1296E-07	2.0006
0.00002	2.7109E-09	2.0005	1.2507E-08	2.0005