Table 4 The maximum absolute errors \(E_{x}\) and \(E_{u}\) at \(\mathcal{N} = 7\) and various values of α, ρ for \(x(t)\) and \(u(t)\), respectively

α = 0.5

0.2

1.3164e − 5

4.5200e − 3

1.3367e − 9

0.5

1.8844e − 5

5.8255e − 3

2.8468e − 9

0.8

1.6082e − 5

4.5318e − 3

2.1206e − 9

1

1.2589e − 5

3.3533e − 3

1.3028e − 9

1.2

8.9696e − 6

2.2683e − 3

6.5501e − 10

1.5

4.3692e − 6

1.0322e − 3

1.4883e − 10

α = 0.9

0.2

1.7852e − 5

5.9378e − 3

2.7782e − 9

0.5

1.4755e − 5

4.1134e − 3

2.0502e − 9

0.8

5.2965e − 6

1.2964e − 3

2.9148e − 10

1

1.2791e − 6

2.9425e − 4

1.8509e − 11

1.2

1.3873e − 5

2.7262e − 4

6.4287e − 12

1.5

1.4947e − 5

4.8645e − 4

5.0808e − 11