Table 2 The numerical solutions and error norms of Problem 5.1 for \(s=1\), \(\alpha =0.5 \), \(n=80\), and \(t=1\)

0.1

1.105171

1.105356

1.105276

1.105216

0.2

1.221403

1.221768

1.221611

1.221493

0.3

1.349860

1.350395

1.350164

1.349992

0.4

1.491825

1.492516

1.492218

1.491996

0.5

1.648722

1.649543

1.649188

1.648922

0.6

1.822119

1.823031

1.822636

1.822342

0.7

2.013753

2.014687

2.014282

2.013979

0.8

2.225541

2.226387

2.226020

2.225747

0.9

2.459603

2.460180

2.459931

2.459745

\({L}_{{2}}\)

3.90 × 10⁻⁶

6.61 × 10⁻⁴

3.75 × 10⁻⁴

9.26 × 10⁻⁵

\({L}_{{\infty}} \)

7.16 × 10⁻⁷

9.37 × 10⁻⁴

5.30 × 10⁻⁴

1.33 × 10⁻⁴