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Table 11 Observed maximum absolute errors of Example 4 for \(\gamma =3\)

From: An exponential spline approximation for fractional Bagley–Torvik equation

n

Method I

Method II

[9]

[17]

8

8.91 × 10−2

4.83 × 10−2

1.76 × 10−1

2.77 × 10−1

16

2.14 × 10−2

2.32 × 10−2

9.09 × 10−2

1.50 × 10−1

32

5.26 × 10−3

1.13 × 10−2

4.62 × 10−2

7.76 × 10−2

64

1.62 × 10−3

5.48 × 10−3

2.33 × 10−2

3.94 × 10−2

128

4.73 × 10−4

2.69 × 10−3

1.17 × 10−2

1.98 × 10−2

256

1.46 × 10−4

1.32 × 10−3

5.85 × 10−3

9.96 × 10−3

512

4.46 × 10−5

6.55 × 10−4

2.93 × 10−3

4.49 × 10−3

1024

1.38 × 10−5

3.26 × 10−4