Theory and Modern Applications
Table 2 Numerical result of Example 5.1
t | \(u_{E}\) | \(u_{10,R}\) | \(u_{12,R}\) | n = 10, e(u) | n = 12, e(u) |
|---|---|---|---|---|---|
0.1 | 0.9048374181 | 0.9048374181 | 0.9048374181 | 3.592657686 × 10−11 | 3.592657661 × 10−12 |
0.3 | 0.7408182206 | 0.7408182206 | 0.7408182206 | 1.923883628 × 10−11 | 1.928210586 × 10−11 |
0.5 | 0.6065306598 | 0.6065306598 | 0.6065306598 | 1.80099255 × 10−11 | 6.287137150 × 10−12 |
0.7 | 0.4965853044 | 0.4965853039 | 0.4965853044 | 4.49700608 × 10−10 | 1.676531197 × 10−11 |
0.9 | 0.4065696671 | 0.4065696598 | 0.4065696671 | 7.35104179 × 10−9 | 7.90460030 × 10−11 |