Theory and Modern Applications
Table 8 Numerical results of two-dimensional parabolic problem and the spatial step at \(t=1\) for Example 5
N | |||||
|---|---|---|---|---|---|
11 × 11 | 21 × 21 | 41 × 41 | 81 × 81 | ||
Taylor | Max(error) | 1.246 × 10−6 | 3.826 × 10−9 | 1.927 × 10−11 | 1.757 × 10−13 |
CPU (s) | 0.164 | 0.169 | 0.187 | 0.283 | |
Order | – | 8.347 | 7.633 | 6.777 | |
Padé | Max(error) | 1.213 × 10−6 | 3.821 × 10−9 | 1.246 × 10−11 | 4.896 × 10−12 |
CPU (s) | 0.165 | 0.173 | 0.195 | 0.285 | |
Order | – | 8.310 | 8.261 | 4.670 | |