Table 5 The maximum norm errors and temporal convergence order with the fixed space step \(\pmb{h=0.1}\)
N | p  = 2 | p  = 3 | p  = 6 | |||
|---|---|---|---|---|---|---|
\(\boldsymbol {\|u^{n}-U^{n}\|_{\infty, h}}\) | order2 | \(\boldsymbol {\|u^{n}-U^{n}\|_{\infty, h}}\) | order2 | \(\boldsymbol {\|u^{n}-U^{n}\| _{\infty, h}}\) | order2 | |
10 | 3.0491 × 10−5 | – | 6.7612 × 10−5 | – | 8.8887 × 10−5 | – |
20 | 7.3366 × 10−6 | 2.0552 | 1.6812 × 10−5 | 2.0078 | 2.2979 × 10−5 | 1.9517 |
40 | 1.8011 × 10−6 | 2.0262 | 4.2029 × 10−6 | 2.0000 | 5.8571 × 10−6 | 1.9721 |
80 | 4.4617 × 10−7 | 2.0132 | 1.0439 × 10−6 | 2.0094 | 1.4822 × 10−6 | 1.9824 |