Theory and Modern Applications
Table 6 Numerical result of Example 5.5
t | \(u_{E}\) | \(u_{7,R}\) | \(u_{9,R}\) | n = 7, e(u) | n = 9, e(u) |
|---|---|---|---|---|---|
0 | 0 | 0 | 0 | 0 | 0 |
0.2 | 0.1986693308 | 0.1986693309 | 0.1986693309 | 7.015540 × 10−12 | 5.604605256 × 10−12 |
0.4 | 0.3894183423 | 0.3894183415 | 0.3894183422 | 7.160351 × 10−10 | 6.3634890 × 10−12 |
0.6 | 0.5646424734 | 0.5646424457 | 0.5646424735 | 2.7695714 × 10−8 | 7.571457 × 10−11 |
0.8 | 0.7173560909 | 0.7173557232 | 0.7173560931 | 3.6774173 × 10−7 | 2.1263475 × 10−9 |