Theory and Modern Applications
Table 5 Numerical accuracy of EAC3 for Example 4.3 at \(t=1.0\)
h = Δx | u | v | cpu | ||||||
|---|---|---|---|---|---|---|---|---|---|
\(E_{\infty }(t)\) | rate | \(E_{R2}(t)\) | rate | \(E_{\infty }(t)\) | rate | \(E_{R2}(t)\) | rate | ||
2−3 | 6.73 × 10−4 | – | 1.65 × 10−3 | – | 7.16 × 10−4 | – | 1.73 × 10−3 | – | 0.010 |
2−4 | 9.41 × 10−5 | 2.84 | 2.35 × 10−4 | 2.81 | 1.00 × 10−4 | 2.84 | 2.46 × 10−4 | 2.81 | 0.011 |
2−5 | 1.24 × 10−5 | 2.92 | 3.15 × 10−5 | 2.90 | 1.32 × 10−5 | 2.92 | 3.30 × 10−5 | 2.90 | 0.047 |
2−6 | 1.59 × 10−6 | 2.96 | 4.05 × 10−6 | 2.96 | 1.70 × 10−6 | 2.96 | 4.25 × 10−6 | 2.96 | 0.563 |
2−7 | 2.02 × 10−7 | 2.98 | 5.14 × 10−7 | 2.98 | 2.15 × 10−7 | 2.98 | 5.39 × 10−7 | 2.98 | 5.050 |