A Characteristic Difference Scheme for Time-Fractional Heat Equations Based on the Crank-Nicholson Difference Schemes

Table 1

Error table for Example 5.1.

		𝛼=0.2		𝛼=0.5		𝛼=0.9
𝑀	𝑁	Error	Rate	Error	Rate	Error	Rate
32	8	0.0018870311	—	0.0016846217	—	0.0009754809	—
32	16	0.0004703510	4.01	0.0004052354	4.16	0.0002461078	3.97
32	32	0.0001172029	4.01	0.0000969929	4.18	0.0000650942	3.78
32	64	0.0000291961	4.01	0.00002314510	4.19	0.0000198362	3.28