Theory and Modern Applications
Table 7 Numerical accuracy for Example 4.4 using EAC3 with \(h=0.1\) and \(J_{x}=20\) on \([-10,10]\) for various values of ε, ν and η
ε | ν | η | \(E_{\infty }(t)\) | \(E_{R2}(t)\) | ||||
|---|---|---|---|---|---|---|---|---|
t = 0.3 | t = 0.6 | t = 0.9 | t = 0.3 | t = 0.6 | t = 0.9 | |||
1.0 | 0.1 | 1.0 | 9.11 × 10−17 | 3.52 × 10−15 | 3.39 × 10−14 | 9.75 × 10−15 | 2.26 × 10−13 | 2.09 × 10−12 |
0.1 | 0.1 | 3.23 × 10−10 | 2.09 × 10−9 | 3.95 × 10−9 | 4.86 × 10−9 | 3.03 × 10−8 | 5.56 × 10−8 | |
0.1 | 0.01 | 3.12 × 10−4 | 2.12 × 10−3 | 4.31 × 10−3 | 2.89 × 10−4 | 1.85 × 10−3 | 3.63 × 10−3 | |
0.1 | 0.1 | 1.0 | 9.02 × 10−16 | 3.49 × 10−14 | 3.37 × 10−13 | 9.62 × 10−15 | 2.24 × 10−13 | 2.08 × 10−12 |
0.1 | 0.1 | 3.23 × 10−9 | 2.09 × 10−8 | 3.95 × 10−8 | 4.86 × 10−9 | 3.30 × 10−8 | 5.56 × 10−8 | |
0.1 | 0.01 | 6.49 × 10−4 | 4.42 × 10−3 | 8.98 × 10−3 | 2.89 × 10−4 | 1.85 × 10−3 | 3.63 × 10−3 | |