Table 7 The maximum absolute errors \(E_{x}\) and \(E_{u}\) at \(\mathcal{N} = 5\) and various values of α, ρ for \(x(t)\) and \(u(t)\), respectively

α = 0.5

0.2

1.6865e − 5

1.1069e − 3

5.8648e − 8

0.5

2.7834e − 5

1.8933e − 3

1.6285e − 7

0.8

3.0404e − 5

1.9449e − 3

1.6076e − 7

1

2.9145e − 5

1.7279e − 3

1.2039e − 7

1.2

2.5093e − 5

1.3995e − 3

7.4509e − 8

1.5

1.5777e − 5

8.2731e − 4

2.3702e − 8

α = 0.9

0.2

3.2317e − 5

1.9834e − 3

1.6158e − 7

0.5

4.5113e − 5

2.2291e − 3

1.9362e − 7

0.8

2.7368e − 5

1.1331e − 3

4.6760e − 8

1

9.3964e − 6

3.5368e − 4

4.3214e − 9

1.2

5.2136e − 6

3.1529e − 4

4.6852e − 9

1.5

1.4204e − 5

9.2895e − 4

3.5294e − 8