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

Table 2

The errors for some values of 𝑀, 𝑁, and 𝛼.

		𝛼=0.3		𝛼=0.5		𝛼=0.8
𝑀	𝑁	Error	Rate	Error	Rate	Error	Rate
4	4	0.02321328680	—	0.02286737567	—	0.02173420667	—
8	8	0.00583004420	3.98	0.00577931685	3.96	0.00554721754	3.92
16	16	0.00146112785	3.99	0.00145293106	3.98	0.00140076083	3.96
32	32	0.00036572715	3.995	0.00036424786	3.99	0.00035252421	3.97
64	64	0.00009148685	3.998	0.00009122231	3.99	0.00008860379	3.98