Theory and Modern Applications
Table 2 Spatial convergence rates in \({L_{\infty }}\) and temporal rates
α | 1/h | 1/τ | \(\|u-u_{h}\|_{\infty }\) | Spatial rate | Temporal rate |
|---|---|---|---|---|---|
1.3 | 24 | 28 | 6.8790e-6 | ||
25 | 210 | 3.9392e-7 | 4.1280 | 2.0640 | |
26 | 212 | 5.4708e-8 | 2.8482 | 1.4241 | |
27 | 214 | 4.2566e-9 | 3.6839 | 1.8733 | |
1.9 | 24 | 28 | 1.5877e-5 | ||
25 | 210 | 1.5608e-6 | 3.3414 | 1.8357 | |
26 | 212 | 1.1740e-7 | 3.7327 | 1.8663 | |
27 | 214 | 6.9972e-9 | 4.0685 | 2.0342 |