Table 2 The maximum \(\pmb{L_{2}}\) errors and convergence orders for Example 1 where \(\pmb{\tau=1/10\text{,}000}\)
α | h | \(\boldsymbol {E_{L_{2}}}\) | Order( h ) |
|---|---|---|---|
1/3 | 1/4 | 3.6326e − 003 | ∗ |
1/8 | 8.4541e − 004 | 2.1033e + 000 | |
1/16 | 2.1080e − 004 | 2.0038e + 000 | |
1/32 | 5.1974e − 005 | 2.0200e + 000 | |
0.5 | 1/4 | 3.3024e − 003 | ∗ |
1/8 | 8.3002e − 004 | 1.9923e + 000 | |
1/16 | 2.0758e − 004 | 1.9995e + 000 | |
1/32 | 5.1766e − 005 | 2.0036e + 000 | |
2/3 | 1/4 | 3.2191e − 003 | ∗ |
1/8 | 8.1000e − 004 | 1.9907e + 000 | |
1/16 | 2.0274e − 004 | 1.9983e + 000 | |
1/32 | 5.0674e − 005 | 2.0003e + 000 |