Theory and Modern Applications
Table 7 The results obtained for the absolute errors of \(\mathfrak{V}(\tau )\) with various values of α along with CPU time where \(N=8\) for Example 2
τ | α = 0.5 | α = 0.6 | α = 0.7 | α = 0.8 | α = 0.9 | α = 0.95 | α = 1 |
|---|---|---|---|---|---|---|---|
0.1 | 1.470 × 10−4 | 1.116 × 10−4 | 7.083 × 10−5 | 3.469 × 10−5 | 9.941 × 10−6 | 3.019 × 10−6 | 4.564 × 10−20 |
0.2 | 1.706 × 10−4 | 1.055 × 10−4 | 5.868 × 10−5 | 2.929 × 10−5 | 1.217 × 10−5 | 5.946 × 10−6 | 1.072 × 10−19 |
0.3 | 8.719 × 10−5 | 3.705 × 10−5 | 9.747 × 10−6 | 2.331 × 10−6 | 4.867 × 10−6 | 3.366 × 10−6 | 5.396 × 10−20 |
0.4 | 1.057 × 10−4 | 7.278 × 10−5 | 4.266 × 10−5 | 1.946 × 10−5 | 4.847 × 10−6 | 1.098 × 10−6 | 4.341 × 10−20 |
0.5 | 1.086 × 10−4 | 5.281 × 10−5 | 2.186 × 10−5 | 8.012 × 10−6 | 3.183 × 10−6 | 1.826 × 10−6 | 1.950 × 10−19 |
0.6 | 6.059 × 10−5 | 4.533 × 10−5 | 2.886 × 10−5 | 1.591 × 10−5 | 7.140 × 10−6 | 3.630 × 10−6 | 2.778 × 10−19 |
0.7 | 1.228 × 10−4 | 6.372 × 10−5 | 2.814 × 10−5 | 9.236 × 10−6 | 8.868 × 10−7 | 4.396 × 10−7 | 1.091 × 10−19 |
0.8 | 1.366 × 10−5 | 5.103 × 10−6 | 8.351 × 10−6 | 5.165 × 10−6 | 1.169 × 10−6 | 2.235 × 10−8 | 1.541 × 10−19 |
0.9 | 7.047 × 10−5 | 4.508 × 10−5 | 2.470 × 10−5 | 1.177 × 10−5 | 4.707 × 10−6 | 2.331 × 10−6 | 4.786 × 10−21 |
1.0 | 1.350 × 10−4 | 4.863 × 10−5 | 1.479 × 10−5 | 4.073 × 10−6 | 1.542 × 10−6 | 9.608 × 10−7 | 3.491 × 10−19 |
CPU Time | 0.594 s | 0.578 s | 0.593 s | 0.578 s | 0.593 s | 0.562 s | 0.547 s |