Table 5 Error results of \(\|I_{h}u^{n}-U^{n}_{h}\|_{1}\) with \(h=\frac{1}{20}\)
t | \(\Delta t=\frac{h}{10}\) | \(\Delta t=\frac{h}{20}\) | \(\Delta t=\frac{h}{40}\) | \(\Delta t=\frac{h}{80}\) |
|---|---|---|---|---|
1 | 6.7407e−02 | 6.7791e−02 | 6.7913e−02 | 6.7714e−02 |
2 | 3.7426e−02 | 3.7565e−02 | 3.7626e−02 | 3.7493e−02 |
3 | 2.7182e−02 | 2.7260e−02 | 2.7196e−02 | 2.7198e−02 |