Theory and Modern Applications
Table 8 Convergence rates of EAC3 for Example 4.5 at \(t=0.5\) and \(t=1.0\) with \(\nu =0.1\)
h = Δx = Δy | t = 0.5 | t = 1.0 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
\(E_{\infty }(t)\) | rate | \(E_{R2}(t)\) | rate | cpu | \(E_{\infty }(t)\) | rate | \(E_{R2}(t)\) | rate | cpu | |
1/50 | 1.89 × 10−3 | – | 4.08 × 10−4 | – | 0.039 | 3.87 × 10−4 | – | 4.91 × 10−5 | – | 0.073 |
1/100 | 3.02 × 10−4 | 2.64 | 6.58 × 10−5 | 2.63 | 0.255 | 6.40 × 10−5 | 2.60 | 7.04 × 10−6 | 2.80 | 0.512 |
1/200 | 4.21 × 10−5 | 2.84 | 9.18 × 10−6 | 2.84 | 2.097 | 9.13 × 10−6 | 2.81 | 9.65 × 10−7 | 2.87 | 4.147 |
1/400 | 5.64 × 10−6 | 2.90 | 1.31 × 10−6 | 2.81 | 22.033 | 1.20 × 10−6 | 2.93 | 1.28 × 10−8 | 2.92 | 41.431 |