M

L²-error

order

L^∞-error

order

$\alpha \left(t\right)=\frac{2\cos \left(t\right)}{9}$

5

2.342556643646625e−02

-

3.844443535521065e−02

-

10

1.287283762777858e−02

0.86

1.784166238464656e−02

1.01

20

6.828570270036006e−03

0.91

9.105420610539252e−03

0.97

40

3.497426279254679e−03

0.97

4.694853168636008e−03

0.96

$\alpha \left(t\right)=\frac{2+t}{7}$

5

4.662548602534104e−02

-

6.552106547740656e−02

-

10

2.479318097735330e−02

0.91

3.451685864768518e−02

0.92

20

1.270402131562550e−02

0.96

1.726411528972149e−02

0.99

40

6.405110600169740e−03

0.99

8.833848912488482e−03

0.97