Table 12 Observed maximum absolute errors of Example 4 for \(\gamma =4\)
From: An exponential spline approximation for fractional Bagley–Torvik equation
n | Method I | Method II | [9] | [17] |
|---|---|---|---|---|
8 | 1.77 × 10−2 | 7.02 × 10−2 | 1.57 × 10−2 | 4.76 × 10−1 |
16 | 4.31 × 10−3 | 3.49 × 10−2 | 3.91 × 10−3 | 2.31 × 10−1 |
32 | 1.06 × 10−3 | 1.72 × 10−2 | 9.77 × 10−4 | 1.13 × 10−1 |
64 | 3.20 × 10−4 | 8.40 × 10−3 | 2.44 × 10−4 | 5.58 × 10−2 |
128 | 9.57 × 10−5 | 4.11 × 10−3 | 6.10 × 10−5 | 2.77 × 10−2 |
256 | 2.94 × 10−5 | 2.02 × 10−3 | 1.53 × 10−5 | 1.38 × 10−2 |
512 | 8.98 × 10−6 | 9.99 × 10−4 | 3.81 × 10−6 | 6.90 × 10−3 |
1024 | 2.77 × 10−6 | 4.94 × 10−4 | – | – |