Table 6 The maximum absolute errors \(E_{x}\) and \(E_{u}\) at \(\mathcal{N} = 3\) and various values of α, ρ for \(x(t)\) and \(u(t)\), respectively

α = 0.5

0.2

1.0231e − 3

1.9131e − 2

4.0523e − 5

0.5

2.4753e − 3

4.4331e − 2

2.0670e − 4

0.8

3.8530e − 3

6.4411e − 2

4.1156e − 4

1

4.6373e − 3

7.4699e − 2

5.3097e − 4

1.2

5.2771e − 3

8.2464e − 2

6.2030e − 4

1.5

5.9209e − 3

8.9499e − 2

6.8711e − 4

α = 0.9

0.2

2.3858e − 3

3.8860e − 2

1.5799e − 4

0.5

5.5632e − 3

8.1363e − 2

6.7525e − 4

0.8

7.7283e − 3

1.0371e − 1

1.0608e − 3

1

8.5173e − 3

1.0894e − 1

1.1381e − 3

1.2

5.4391e − 3

1.6713e − 1

3.2128e − 3

1.5

6.0557e − 3

1.6509e − 1

2.8066e − 3