Table 4 Results for \(U^{n}_{h}\) and \(Q^{n}_{h}\) when \(t=1.0\) (\(\tau=5h^{2}\))
m × m | \(\|u^{n}-U_{h}^{n}\|_{0}\) | Order | \(\|u^{n}-U_{h}^{n}\|_{1}\) | Order | \(\|q^{n}-Q_{h}^{n}\|_{0}\) | Order | \(\|q^{n}-Q_{h}^{n}\|_{1}\) | Order |
|---|---|---|---|---|---|---|---|---|
5 × 5 | 5.8966 × 10−3 | – | 8.2298 × 10−2 | – | 5.8959 × 10−3 | – | 8.2297 × 10−2 | – |
10 × 10 | 1.4919 × 10−3 | 1.9827 | 4.0685 × 10−2 | 1.0164 | 1.4919 × 10−3 | 1.9826 | 4.0685 × 10−2 | 1.0164 |
20 × 20 | 3.7407 × 10−4 | 1.9958 | 2.0281 × 10−2 | 1.0043 | 3.7407 × 10−4 | 1.9958 | 2.0281 × 10−2 | 1.0043 |
40 × 40 | 9.3585 × 10−5 | 1.9989 | 1.0133 × 10−2 | 1.0011 | 9.3585 × 10−5 | 1.9989 | 1.0133 × 10−2 | 1.0011 |