Theory and Modern Applications
Table 2 The error of \(\|\boldsymbol{u}^{r}-U^{r}\|\) and \(\|\boldsymbol{u}^{r}-U^{r}\|_{\infty}\) with \(r=\frac{0.8}{\tau}\)
τ | \(\|\boldsymbol{u}^{r}-U^{r}\|\) | Rate | \(\|\boldsymbol{u}^{r}-U^{r}\|_{\infty}\) | Rate |
|---|---|---|---|---|
1/50 | 2.3890e–06 | – | 4.3654e–06 | – |
1/100 | 6.1717e–07 | 1.9527 | 1.1288e–06 | 1.9513 |
1/200 | 1.5818e–07 | 1.9641 | 2.9042e–07 | 1.9586 |
1/400 | 4.1494e–08 | 1.9306 | 7.7267e–08 | 1.9102 |