Maximum Norm Error Estimates of ADI Methods for a Two-Dimensional Fractional Subdiffusion Equation

Table 4

The maximum norm error and the spatial accuracy of 𝑢^𝑛_𝑖,𝑗 for Example 5.

ℎ	𝐿1-ADI scheme (𝛼=2/3,𝜏=1/4000)		BD-ADI scheme (𝛼=1/2,𝜏=1/4000)
	error(𝜏,ℎ)	order(ℎ)	error(𝜏,ℎ)	order(ℎ)
1/4	8.9083790169𝑒−04	1.901804	9.4164046481𝑒−04	1.901896
1/8	2.3839587645𝑒−04	1.985610	2.5197489313𝑒−04	1.974325
1/16	6.0196414976𝑒−05	2.072000	6.4124816806𝑒−05	2.032967
1/32	1.4316490746𝑒−05	2.263270	1.5669032476𝑒−05	2.158045
1/64	2.9821150680𝑒−06		3.5107982244𝑒−06