Table 6 Numerical results at \(t=0.5\) with \(\tau=5h\)
m × m | \(\|\boldsymbol{p}^{n}-\boldsymbol{P}^{n}_{h}\|_{0}\) | Order | \(\|\boldsymbol{\Pi }_{h}\boldsymbol{p}^{n}-\boldsymbol{P}^{n}_{h}\|_{0}\) | Order |
|---|---|---|---|---|
20 × 20 | 0.0112 | – | 0.5102 × 10−3 | – |
40 × 40 | 0.0056 | 0.9998 | 0.1277 × 10−3 | 1.9980 |
80 × 80 | 0.0028 | 0.9999 | 0.0319 × 10−3 | 1.9995 |