Table 2 Comparison of the methods under consideration on the basis of absolute errors and CPU time for Problem 2 with different number of steps (n)

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

2.868e–17

2.750e–17

1.882e–17

3.338e–16

8.907e–01

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

2.868e–17

2.750e–17

1.882e–17

3.338e–16

7.023e–01

SHM, 5

5.874e–15

5.633e–15

3.854e–15

6.836e–14

2.801e–01

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

7.802e–15

1.760e–15

3.156e–15

6.585e–14

5.546e–01

Radau I₅

7.895e–14

2.829e–14

4.692e–14

8.608e–13

8.467e–01

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

4.482e–19

4.298e–19

2.942e–19

7.369e–18

2.018e+00

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

4.482e–19

4.298e–19

2.942e–19

7.369e–18

1.485+00

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

9.178e–17

8.802e–17

6.025e–17

1.509e–15

5.645e–01

Sahi

1.219e–16

2.750e–17

4.938e–17

1.455e–15

1.142e+00

Radau I₅

2.467e–15

8.838e–16

1.468e–15

3.804e–14

1.562e+00

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

7.003e–21

6.715e–21

4.598e–21

1.628e–19

4.491e+00

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

7.003e–21

6.715e–21

4.598e–21

1.628e–19

3.378e+00

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

1.434e–18

1.375e–18

9.416e–19

3.334e–17

1.319e+00

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

1.905e–18

4.298e–19

7.721e–19

3.215e–17

2.008e+00

Radau I₅

7.710e–17

2.762e–17

4.591e–17

1.681e-15

3.484e+00