Theory and Modern Applications
Table 3 Error norms and order of convergence for Example 1 when \(\pmb{\Delta t=\frac{1}{120}}\) , \(\pmb{\gamma=1.5}\) for different N
N | \(\boldsymbol{L_{2}}\) Norm | \(\boldsymbol{L_{\infty}}\) Norm | Order |
|---|---|---|---|
10 | 5.8885E − 04 | 1.1194E − 04 | … |
20 | 1.4794E − 04 | 2.9588E − 04 | 1.4023 |
40 | 3.7034E − 05 | 7.4070E − 05 | 1.9981 |
80 | 9.2619E − 06 | 1.8524E − 05 | 1.9995 |
160 | 2.3157E − 06 | 4.6314E − 06 | 1.9999 |