Table 12 Problem 5 : MAEs and RMSEs using ( 2.7a )-( 2.7b ) with different values of C

1

8

u

1.79e−04

1.13e−04

4.34e−05

2.60e−05

\(u' \)

6.45e−04

4.21e−04

1.35e−04

8.96e−05

16

u

4.65e−05

2.95e−05

9.98e−06

5.92e−06

\(u' \)

1.52e−04

1.04e−04

3.33e−05

2.18e−05

32

u

1.17e−05

7.46e−06

2.44e−06

1.45e−06

\(u' \)

3.75e−05

2.60e−05

8.57e−06

5.41e−06

64

u

2.94e−06

1.87e−06

6.07e−07

3.59e−07

\(u' \)

9.35e−06

6.51e−06

2.15e−06

1.35e−06

128

u

7.36e−07

4.68e−07

1.52e−07

8.97e−08

\(u' \)

2.33e−06

1.63e−06

5.40e−07

3.38e−07

256

u

1.84e−07

1.17e−07

2.69e−08

1.51e−08

order

2.00

2.00

2.49

2.57

\(u' \)

5.83e−07

4.06e−07

1.04e−07

6.32e−08

order

2.00

2.00

2.38

2.42

10

8

u

1.40e−03

8.98e−04

1.29e−03

8.40e−04

\(u' \)

4.36e−03

3.12e−03

4.05e−03

2.91e−03

16

u

3.47e−04

2.22e−04

3.26e−04

2.06e−04

\(u' \)

1.11e−03

7.68e−04

1.00e−03

7.18e−04

32

u

8.64e−05

5.53e−05

8.11e−05

5.14e−05

\(u' \)

2.75e−04

1.91e−04

2.51e−04

1.79e−04

64

u

2.16e−05

1.38e−05

2.03e−05

1.28e−05

\(u' \)

6.89e−05

4.78e−05

6.29e−05

4.47e−05

128

u

5.40e−06

3.46e−06

5.06e−06

3.21e−06

\(u' \)

1.72e−05

1.19e−05

1.57e−05

1.12e−05

256

u

1.35e−06

8.64e−07

1.26e−06

7.95e−07

order

2.00

2.00

2.01

2.01

\(u' \)

4.30e−06

2.99e−06

3.90e−06

2.77e−06

order

2.00

2.00

2.01

2.01

100

8

u

4.03e−03

2.70e−03

4.04e−03

2.72e−03

\(u' \)

1.34e−02

8.99e−03

1.41e−02

9.05e−03

16

u

9.68e−04

6.46e−04

9.80e−04

6.46e−04

\(u' \)

3.21e−03

2.16e−03

3.20e−03

2.18e−03

32

u

2.40e−04

1.60e−04

2.42e−04

1.60e−04

\(u' \)

8.06e−04

5.35e−04

7.87e−04

5.38e−04

64

u

5.99e−05

3.98e−05

6.04e−05

3.98e−05

\(u' \)

2.01e−04

1.33e−04

1.96e−04

1.34e−04

128

u

1.50e−05

9.95e−06

1.51e−05

9.93e−06

\(u' \)

5.02e−05

3.33e−05

4.89e−05

3.35e−05

256

u

3.74e−06

2.49e−06

3.77e−06

2.48e−06

order

2.00

2.00

2.00

2.00

\(u' \)

1.25e−05

8.33e−06

1.22e−05

8.37e−06

order

2.00

2.00

2.00

2.00