Table 3 The maximum \(\pmb{L_{2}}\) errors and convergence orders for Example 2 with \(\pmb{h=1/1\text{,}000}\)
α | τ | \(\boldsymbol {E_{L_{2}}}\) | Order( τ ) |
|---|---|---|---|
1/3 | 1/20 | 4.5529e − 003 | ∗ |
1/40 | 1.8482e − 003 | 1.3007e + 000 | |
1/80 | 7.4443e − 004 | 1.3119e + 000 | |
1/160 | 2.9840e − 004 | 1.3189e + 000 | |
0.5 | 1/20 | 2.4404e − 003 | ∗ |
1/40 | 8.9749e − 004 | 1.4431e + 000 | |
1/80 | 3.2613e − 004 | 1.4604e + 000 | |
1/160 | 1.1768e − 004 | 1.4706e + 000 | |
2/3 | 1/20 | 1.1972e − 003 | ∗ |
1/40 | 4.0070e − 004 | 1.5791e + 000 | |
1/80 | 1.3221e − 004 | 1.5997e + 000 | |
1/160 | 4.3321e − 005 | 1.6097e + 000 |