Table 4 The maximum \(\pmb{L_{2}}\) errors and convergence orders for Example 2 with \(\pmb{\tau=1/10\text{,}000}\)
α | h | \(\boldsymbol {E_{L_{2}}}\) | Order( h ) |
|---|---|---|---|
1/3 | 1/4 | 2.9470e − 002 | ∗ |
1/8 | 7.1231e − 003 | 2.0487e + 000 | |
1/16 | 1.7659e − 003 | 2.0121e + 000 | |
1/32 | 4.4129e − 004 | 2.0006e + 000 | |
0.5 | 1/4 | 2.9634e − 002 | ∗ |
1/8 | 7.1649e − 003 | 2.0482e + 000 | |
1/16 | 1.7757e − 003 | 2.0126e + 000 | |
1/32 | 4.4311e − 004 | 2.0027e + 000 | |
2/3 | 1/4 | 2.9400e − 002 | ∗ |
1/8 | 7.1113e − 003 | 2.0476e + 000 | |
1/16 | 1.7625e − 003 | 2.0125e + 000 | |
1/32 | 4.3969e − 004 | 2.0031e + 000 |