Theory and Modern Applications
Table 9 Numerical results of three-dimensional parabolic problem at \(t=0.1\) with \(x=0.5\) and \(y=0.5\) for Example 6
N | |||||
|---|---|---|---|---|---|
11 × 11 × 11 | 21 × 21 × 21 | 41 × 41 × 41 | 81 × 81 × 81 | ||
Taylor | Max(error) | 6.781 × 10−7 | 1.946 × 10−9 | 1.220 × 10−11 | 1.439 × 10−13 |
CPU (s) | 0.265 | 0.280 | 0.272 | 0.308 | |
Order | – | 8.445 | 7.332 | 6.406 | |
Padé | Max(error) | 6.781 × 10−7 | 1.874 × 10−9 | 5.995 × 10−11 | 7.191 × 10−11 |
CPU (s) | 0.270 | 0.276 | 0.278 | 0.288 | |
Order | – | 8.500 | 4.966 | −0.262 | |