Skip to main content

Table 5 Comparison of absolute errors at \(x=10\) for the Blasius equation of boundary layer flow given in Problem 5 with different number of steps (n)

From: A new continuous hybrid block method with one optimal intrastep point through interpolation and collocation

n

Method

LE_u

LE_v

LE_w

CPU time

8

\(\mathrm{POBM} _{5}\)

6.705e–05

1.051e–05

4.259e–11

8.084e–02

\(\mathrm{RPOBM} _{5}\)

6.705e–05

1.051e–05

4.259e–11

6.753e–02

\(\mathrm{BHSM} _{5}\)

5.437e–02

6.470e–03

2.294e–07

2.524e–02

\(\mathrm{Sahi} _{6}\)

1.847e–02

1.542e–03

3.599e–06

4.455e–02

\(\mathrm{Radau} _{5}\)

1.672e–03

1.640e–04

1.274e–06

7.56e–02

16

\(\mathrm{POBM} _{5}\)

7.800e–07

1.288e–07

1.496e–11

2.958e–01

\(\mathrm{RPOBM} _{5}\)

7.800e–07

1.288e–07

1.496e–11

1.362e–01

\(\mathrm{BHSM} _{5}\)

1.933e–04

1.876e–05

1.839e–11

4.400e–02

\(\mathrm{Sahi} _{6}\)

6.705e–05

1.051e–05

4.259e–11

1.502e–01

\(\mathrm{Radau} _{5}\)

5.548e–05

5.016e–06

1.495e–11

1.758e–01

32

\(\mathrm{POBM} _{5}\)

3.541e–07

3.004e–08

1.496e–11

2.680e–01

\(\mathrm{RPOBM} _{5}\)

3.541e–07

3.004e–08

1.496e–11

2.308e–01

\(\mathrm{BHSM} _{5}\)

4.330e–06

4.861e–07

1.496e–11

8.873e–02

\(\mathrm{Sahi} _{6}\)

7.800e–07

1.288e–07

1.496e–11

1.555e–01

\(\mathrm{Radau} _{5}\)

2.033e–06

1.761e–07

1.496e–11

2.727e–01