Table 7 Errors and orders of convergence on the different cell with the Neumann boundary
| i | q 1 | u | ||||||
|---|---|---|---|---|---|---|---|---|
| L∞ | Order | L2 | Order | L∞ | Order | L2 | Order | |
| 1 | 1.25 × 10−4 | 1.25 × 10−4 | 8.65 × 10−3 | 7.06 × 10−4 | ||||
| 2 | 3.59 × 10−4 | − 4.33 | 6.72 × 10−5 | 2.48 | 5.32 × 10−3 | 1.99 | 3.56 × 10−4 | 3.05 |
| 3 | 5.80 × 10−5 | 9.60 | 4.51 × 10−5 | 2.10 | 5.22 × 10−3 | 0.10 | 2.83 × 10−4 | 1.20 |
| 4 | 4.51 × 10−5 | 1.66 | 3.22 × 10−5 | 2.23 | 5.70 × 10−3 | − 0.57 | 2.33 × 10−4 | 1.26 |
| 5 | 2.92 × 10−5 | 2.99 | 2.48 × 10−5 | 1.79 | 5.30 × 10−3 | 0.50 | 1.86 × 10−4 | 1.58 |
| 6 | 2.77 × 10−7 | 28.21 | 1.59 × 10−5 | 2.69 | 3.23 × 10−3 | 3.00 | 1.11 × 10−4 | 3.10 |