Table 1 Comparison of maximum absolute errors for Example 1

After extrapolation

\(2^{ - 6}\)

1.1939e−04

3.4613e−05

9.3412e−06

4.2951e−06

2.3138e−06

\(2^{ - 8}\)

1.7054e−04

5.6853e−05

1.5929e−05

4.2117e−06

1.0822e−06

\(2^{ - 10}\)

2.1124e−04

1.0056e−04

3.8345e−05

1.1640e−05

3.1477e−06

\(2^{ - 12}\)

2.0194e−04

7.9291e−05

5.5162e−05

3.0062e−05

1.0964e−05

\(2^{ - 18}\)

2.7271e−04

7.2971e−05

1.8774e−05

4.6058e−06

1.8644e−06

Before extrapolation

\(2^{ - 6}\)

3.3878e−03

1.7453e−03

8.8211e−04

4.4321e−04

2.2212e−04

\(2^{ - 8}\)

4.0171e−03

2.0163e−03

1.0020e−03

4.9855e−04

2.4852e−04

\(2^{ - 10}\)

4.4610e−03

2.2241e−03

1.0800e−03

5.2600e−04

2.5871e−04

\(2^{ - 12}\)

4.6996e−03

2.4258e−03

1.2014e−03

5.7660e−04

2.7486e−04

\(2^{ - 18}\)

4.7584e−03

2.5003e−03

1.2810e−03

6.4852e−04

3.2604e−04

Results in [6]

\(2^{ - 6}\)

2.5289e−02

1.7672e−02

9.0066e−03

4.8378e−03

2.5035e−03

\(2^{ - 8}\)

3.8607e−02

1.9497e−02

1.1221e−02

6.2852e−03

3.3405e−03

\(2^{ - 10}\)

9.3183e−02

7.0120e−02

4.4773e−02

2.0546e−02

1.0545e−02

\(2^{ - 12}\)

1.7017e−01

1.0083e−01

6.2216e−02

3.9526e−02

2.0493e−02

\(2^{ - 18}\)

2.5614e−01

2.1031e−01

1.3406e−01

8.5618e−02

4.8834e−02