Table 1 Error results of \(\|I_{h}u^{n}-U^{n}_{h}\|_{1}\) with \(h=\frac{1}{100}\)
t | \(\Delta t=\frac{h}{10}\) | \(\Delta t=\frac{h}{20}\) | \(\Delta t=\frac{h}{40}\) | \(\Delta t=\frac{h}{80}\) |
|---|---|---|---|---|
0.1 | 1.0893e−06 | 1.0958e−06 | 1.0991e−06 | 1.1007e−06 |
0.5 | 4.6014e−06 | 4.6203e−06 | 4.6295e−06 | 4.6340e−06 |
1.0 | 7.5644e−06 | 7.5844e−06 | 7.5939e−06 | 7.5986e−06 |