Table 2 Results for \(U^{n}_{h}\) and \(Q^{n}_{h}\) when \(t=0.5\) (\(\tau=5h^{2}\))
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 | 3.8700 × 10−3 | – | 5.0155 × 10−2 | – | 3.8696 × 10−3 | – | 5.0155 × 10−2 | – |
10 × 10 | 9.3055 × 10−4 | 2.0562 | 2.4686 × 10−2 | 1.0227 | 9.3055 × 10−4 | 2.0560 | 2.4686 × 10−2 | 1.0227 |
20 × 20 | 2.3338 × 10−4 | 1.9954 | 1.2303 × 10−2 | 1.0048 | 2.3338 × 10−4 | 1.9954 | 1.2303 × 10−2 | 1.0048 |
40 × 40 | 5.8391 × 10−5 | 1.9989 | 6.1461 × 10−3 | 1.0012 | 5.8391 × 10−5 | 1.9989 | 6.1461 × 10−3 | 1.0012 |