Table 1 Results for \(U^{n}_{h}\) and \(Q^{n}_{h}\) when \(t=0.25\) (\(\tau=5h^{2}\))
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 | 2.9760 × 10−3 | – | 3.9028 × 10−2 | – | 2.9757 × 10−3 | – | 3.9028 × 10−2 | – |
10 × 10 | 7.3473 × 10−4 | 2.0181 | 1.9230 × 10−2 | 1.0211 | 7.3473 × 10−4 | 2.0179 | 1.9230 × 10−2 | 1.0211 |
20 × 20 | 1.8429 × 10−4 | 1.9952 | 9.5818 × 10−3 | 1.0050 | 1.8429 × 10−4 | 1.9953 | 9.5818 × 10−3 | 1.0050 |
40 × 40 | 4.6110 × 10−5 | 1.9988 | 4.7867 × 10−3 | 1.0013 | 4.6110 × 10−5 | 1.9988 | 4.7867 × 10−3 | 1.0013 |