Theory and Modern Applications
Table 3 Maximum absolute error of \(\pmb{|y-y_{N}|}\) for Example 2 for \(\pmb{N=2,4,6,8,10,12}\)
N | \(\boldsymbol {E_{1}}\) | \(\boldsymbol {E_{2}}\) | \(\boldsymbol {E_{3}}\) | \(\boldsymbol {E_{4}}\) |
|---|---|---|---|---|
2 | 1.36037 × 10−6 | 2.11456 × 10−6 | 8.70645 × 10−7 | 8.46647 × 10−8 |
4 | 1.23719 × 10−8 | 2.69013 × 10−8 | 5.15533 × 10−9 | 5.83994 × 10−10 |
6 | 4.34874 × 10−11 | 1.19637 × 10−10 | 1.93656 × 10−11 | 4.17821 × 10−12 |
8 | 2.65565 × 10−13 | 4.8217 × 10−13 | 1.57874 × 10−13 | 3.44169 × 10−14 |
10 | 9.10383 × 10−15 | 9.76996 × 10−15 | 1.19904 × 10−14 | 8.88178 × 10−15 |
12 | 8.65974 × 10−15 | 8.65974 × 10−15 | 1.06581 × 10−14 | 8.43769 × 10−15 |