Table 1 Comparison of the methods under consideration on the basis of absolute errors and CPU time for the flame propagation model given in Problem 1 with different number of steps (n)

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

1.232e–10

1.049e–12

1.645e–11

2.650e–10

3.739e–01

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

1.232e–10

1.049e–12

1.645e–11

2.650e–10

2.898e–01

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

1.243e–08

1.905e–11

1.387e–09

2.329e–08

1.171e–01

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

1.155e–08

6.796e–11

1.568e–09

2.565e–08

1.733e–01

Radau I₅

9.303e–09

3.043e–10

1.304e–09

2.048e–08

4.269e–01

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

1.967e–12

1.635e–14

2.590e–13

5.824e–12

5.682e–01

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

1.967e–12

1.635e–14

2.590e–13

5.824e–12

4.026e–01

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

1.838e–10

2.934e–13

2.246e–11

5.244e–10

1.800e–01

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

2.239e–10

1.049e–12

2.381e–11

5.601e–10

2.579e–01

Radau I₅

2.889e–10

9.259e–12

3.997e–11

8.842e–10

5.834e–01

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

3.067e–14

2.553e–16

4.058e–15

1.285e–13

3.051e+00

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

3.067e–14

2.553e–16

4.058e–15

1.285e–13

9.716e–01

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

2.834e–12

4.568e–15

3.536e–13

1.166e–11

4.130e–01

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

3.621e–12

1.635e–14

3.701e–13

1.234e–11

6.724e–01

Radau I₅

8.931e–12

2.857e–13

1.243e–12

3.866e–11

1.176e+00