Research Article
VIM-Based Dynamic Sparse Grid Approach to Partial Differential Equations
Table 1
Condition number of the Fokker-Planck equation.
| | Re | = 0.0001 | | | | | | | |
| 4 | 10 | 8.9742 | 6.3786 | 12.1637 | 1.56319 | 1.9723 | 2.3335 | 100 | 91.8021 | 49.1826 | 186.9260 | 9.5434 | 11.9168 | 19.2971 | 1000 | 1891.2 | 512.7634 | 3856.3 | 403.3223 | 148.8976 | 812.9812 |
| 7 | 10 | 40.3968 | 32.2256 | 82.2844 | 41.2311 | 4.3834 | 7.2188 | 100 | 813.5472 | 199.1953 | 1245.7 | 81.7719 | 49.5538 | 173.4967 | 1000 | 21987.0000 | 2426.8 | 39004 | 3688.30 | 699.4512 | 6917.4 |
| 10 | 10 | 298.5375 | 145.7761 | 663.4654 | 20.6612 | 18.4523 | 40.1116 | 100 | 7821.7000 | 1217.8 | 14346 | 698.5623 | 212.9856 | 1274.6 | 1000 | 194670 | 13887 | 523830 | 38421 | 3974.4 | 79248 |
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