Table 5 The maximum absolute error and rate of convergence of Example 5.3

\( 2^{0} \)

4.5386e-06

1.1365e-06

2.8421e-07

7.1060e-08

1.7782e-08

4.4008e-09

1.9976

1.9996

1.9998

1.9986

2.0146

\( 2^{-4} \)

4.7504e-05

1.1867e-05

2.9661e-06

7.4148e-07

1.8537e-07

4.6342e-08

2.0011

2.0003

2.0001

2.0000

2.0000

\( 2^{-8} \)

2.6857e-04

6.9095e-05

1.7495e-05

4.3794e-06

1.0957e-06

2.7394e-07

1.9586

1.9816

1.9981

1.9989

1.9999

\( 2^{-12} \)

6.6845e-04

3.0691e-04

8.1741e-05

2.0780e-05

5.2171e-06

1.3072e-06

1.1230

1.9087

1.9759

1.9939

1.9968

\(2^{-16}\)

1.0737e-03

2.5600e-04

1.9205e-04

8.1349e-05

2.1584e-05

5.4813e-06

2.0684

1.4466

1.2393

1.9142

1.9774

\( 2^{-20} \)

1.2196e-03

6.5715e-04

3.0150e-04

6.8690e-05

4.9737e-05

2.0647e-05

1.9211

1.7241

2.1340

1.6578

1.6684