Table 3 The maximum absolute error and rate of convergence of Example 5.2

\( 2^{0} \)

1.4021e-05

3.5078e-06

8.7725e-07

2.1932e-07

5.4820e-08

1.3692e-08

1.9990

1.9995

2.0000

2.0003

2.0014

\( 2^{-4} \)

8.3355e-05

2.0870e-05

5.2203e-06

1.3052e-06

3.2632e-07

8.1577e-08

1.9978

1.9992

1.9999

1.9999

2.0001

\(2^{-8}\)

2.0102e-04

5.1032e-05

1.2800e-05

3.2036e-06

8.0104e-07

2.0027e-07

1.9779

1.9953

1.9984

1.9997

1.9999

\( 2^{-12} \)

2.5085e-04

7.6354e-05

1.9909e-05

5.0336e-06

1.2619e-06

3.1570e-07

1.7160

1.9393

1.9838

1.9960

1.9990

\( 2^{-16} \)

2.0675e-04

7.6047e-05

1.9640e-05

5.7644e-06

1.4992e-06

3.7847e-07

1.4429

1.9531

1.7686

1.9430

1.9859

\( 2^{-20} \)

2.1327e-04

1.0804e-04

5.2959e-05

1.9586e-05

3.9418e-06

9.8186e-07

1.9812

1.8286

1.4351

2.3129

2.0053