Table 5 The numerical errors

Lagrange

\(\frac{1}{8} \)

–

3.1461e − 04

3.0705e − 04

1.5900e − 02

\(\frac{1}{16} \)

–

4.0542e − 05

3.8417e − 05

4.0000e − 03

\(\frac{1}{32} \)

–

5.1439e − 06

4.8032e − 06

9.9613e − 04

\(\frac{1}{64} \)

–

6.4770e − 07

6.0041e − 07

2.4904e − 04

\(\frac{1}{128} \)

–

8.4437e − 08

7.5197e − 08

6.2262e − 05

H-Bézier

2

2

2.4146e − 04

1.8102e − 04

7.2802e − 04

1

1

2.4421e − 06

2.1046e − 06

1.0613e − 05

\(\frac{1}{2} \)

\(\frac{1}{2}\)

1.4447e − 08

1.3262e − 08

9.9744e − 08

\(\frac{1}{4} \)

\(\frac{1}{4}\)

7.7012e − 11

6.1906e − 11

9.2855e − 10

\(\frac{1}{8} \)

\(\frac{1}{8}\)

2.9026e − 12

2.2807e − 12

6.4485e − 11