Theory and Modern Applications
Table 3 Numerical results of Example 5.2 when \(n=30\) and \(\alpha \in \{ 0.85, 0.9, 0.95, 1\}\)
t | α = 1 | α = 0.95 | α = 0.9 | α = 0.85 | ||||
|---|---|---|---|---|---|---|---|---|
RKM | Res(t) | RKM | Res(t) | RKM | Res(t) | RKM | Res(t) | |
0.1 | 0.0050 | 2.89449 × 10−8 | 0.0098 | 1.59473 × 10−6 | 0.0089 | 1.77786 × 10−4 | 0.0123 | 2.28399 × 10−4 |
0.2 | 0.0202 | 3.13636 × 10−7 | 0.0296 | 4.42954 × 10−7 | 0.0307 | 2.89764 × 10−4 | 0.0392 | 3.49224 × 10−4 |
0.3 | 0.0459 | 9.93014 × 10−7 | 0.0598 | 2.14734 × 10−6 | 0.0629 | 3.84891 × 10−4 | 0.0765 | 4.45448 × 10−4 |
0.4 | 0.0828 | 1.70363 × 10−6 | 0.1010 | 4.15871 × 10−6 | 0.1062 | 4.75687 × 10−4 | 0.1248 | 5.35930 × 10−4 |
0.5 | 0.1314 | 2.23322 × 10−6 | 0.1537 | 6.18034 × 10−6 | 0.1610 | 5.55430 × 10−4 | 0.1844 | 6.09900 × 10−4 |
0.6 | 0.1922 | 3.40658 × 10−6 | 0.2181 | 7.62633 × 10−6 | 0.2274 | 6.12771 × 10−4 | 0.2546 | 6.50843 × 10−4 |
0.7 | 0.2653 | 5.44348 × 10−6 | 0.2935 | 7.62471 × 10−6 | 0.3040 | 6.30588 × 10−4 | 0.3329 | 6.39091 × 10−4 |
0.8 | 0.3494 | 7.14417 × 10−6 | 0.3773 | 5.88718 × 10−6 | 0.3873 | 5.92579 × 10−4 | 0.4140 | 5.68195 × 10−4 |
0.9 | 0.4409 | 8.65241 × 10−6 | 0.4636 | 7.90205 × 10−6 | 0.4697 | 5.07416 × 10−4 | 0.4894 | 4.69630 × 10−4 |
1.0 | 0.5309 | 2.31501 × 10−5 | 0.5418 | 2.65822 × 10−5 | 0.5402 | 4.19486 × 10−4 | 0.5496 | 3.89029 × 10−4 |