Table 1 The maximum \(\pmb{L_{2}}\) errors and convergence orders for Example 1 where \(\pmb{h=1/1\text{,}000}\)
α | τ | \(\boldsymbol {E_{L_{2}}}\) | Order( τ ) |
|---|---|---|---|
1/3 | 1/20 | 3.6326e − 003 | ∗ |
1/40 | 1.4826e − 003 | 1.2929e + 000 | |
1/80 | 5.9838e − 004 | 1.3090e + 000 | |
1/160 | 2.3989e − 004 | 1.3187e + 000 | |
0.5 | 1/20 | 1.8364e − 003 | ∗ |
1/40 | 6.8187e − 004 | 1.4293e + 000 | |
1/80 | 2.4895e − 004 | 1.4536e + 000 | |
1/160 | 8.9904e − 005 | 1.4694e + 000 | |
2/3 | 1/20 | 8.0971e − 004 | ∗ |
1/40 | 2.7806e − 004 | 1.5420e + 000 | |
1/80 | 9.3144e − 005 | 1.5779e + 000 | |
1/160 | 3.0673e − 005 | 1.6025e + 000 |