Theory and Modern Applications
Table 3 Numerical result of Example 5.2
t | \(u_{E}\) | \(u_{5,R}\) | \(u_{7,R}\) | n = 5, e(u) | n = 7, e(u) |
|---|---|---|---|---|---|
0 | 1 | 1 | 1 | 0 | 0 |
0.2 | 0.8024106473 | 0.8024106667 | 0.8024106464 | 1.936597 × 10−8 | 9.5149031 × 10−10 |
0.4 | 0.6174056479 | 0.6174079999 | 0.6174053993 | 2.3520953 × 10−6 | 2.48539620 × 10−7 |
0.6 | 0.4529537891 | 0.4529920000 | 0.4529475657 | 3.8210890 × 10−5 | 6.22339571 × 10−6 |
0.8 | 0.3130505040 | 0.3133226667 | 0.3129897854 | 2.7216259 × 10−5 | 6.07186798 × 10−5 |