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Theory and Modern Applications

Table 3 Maximum absolute errors for q , u , and J at \(\pmb{N=20}\) , \(\pmb{\alpha =0.6}\) and various choices of M for Example 5.2

From: A space-time spectral method for the time fractional diffusion optimal control problems

M

4

6

8

10

12

14

16

q

7.24E − 02

1.18E − 03

1.62E − 05

1.92E − 07

1.75E − 09

1.34E − 11

1.57E − 13

u

1.30E − 01

2.17E − 03

3.19E − 05

3.78E − 07

3.48E − 09

2.66E − 11

2.22E − 13

J

9.47E − 02

1.07E − 03

2.72E − 06

2.30E − 09

1.08E − 12

6.66E − 16

8.88E − 16