Theory and Modern Applications
Table 6 A comparison between the results obtained by our method with those obtained in [18, 23] with various values of N for Example 1
N | \(\lvert \mathfrak{J}-\mathfrak{J}^{*}\rvert \) | \(\lvert \mathfrak{V}-\mathfrak{V}^{*}\rvert \) | \(\lvert \mathfrak{W}-\mathfrak{W}^{*}\rvert \) |
|---|---|---|---|
The results obtained in [18] | |||
4 | 1.024 × 10−6 | 1.782 × 10−4 | 5.325 × 10−3 |
6 | 6.795 × 10−11 | 1.015 × 10−6 | 4.923 × 10−5 |
8 | 1.554 × 10−15 | 3.433 × 10−9 | 2.405 × 10−7 |
10 | 6.661 × 10−16 | 7.636 × 10−12 | 7.215 × 10−10 |
The results obtained in [23] | |||
4 | 1.469 × 10−7 | 4.225 × 10−5 | 5.404 × 10−4 |
6 | 2.539 × 10−12 | 1.232 × 10−7 | 2.250 × 10−6 |
8 | 4.670 × 10−18 | 2.097 × 10−10 | 5.021 × 10−9 |
10 | 7.951 × 10−18 | 2.354 × 10−13 | 6.973 × 10−12 |
The results obtained by our method | |||
4 | 6.879 × 10−8 | 6.783 × 10−5 | 3.567 × 10−5 |
6 | 1.181 × 10−12 | 1.949 × 10−7 | 1.038 × 10−7 |
8 | 5.820 × 10−18 | 3.300 × 10−10 | 1.771 × 10−10 |
10 | 8.000 × 10−20 | 3.725 × 10−13 | 1.999 × 10−13 |