Research Article
Solution of the Porous Media Equation by a Compact Finite Difference Method
Table 5
Comparison
of the CFD6 with the FD4 for various values of
and
with
,
,
computational domain
in Example
3.5.
| | |
Exact | Numerical | Absolute error | | FD4 | CFD6 | FD4 | CFD6 |
| | 1.1 | 0.10 | 1.110366 | 1.110365 | 1.110367 | 1.38E-06 | 1.31E-06 | | 1.00 | 6.717324 | 6.717289 | 6.717331 | 3.45E-05 | 7.52E-06 | | 5.00 | 20024.059813 | 20023.956641 | 20024.082234 | 1.03E-01 | 2.24E-02 |
| | 1.5 | 0.10 | 0.814269 | 0.814235 | 0.814268 | 3.33E-05 | 7.68E-07 | | 1.00 | 4.926037 | 4.925791 | 4.926030 | 2.47E-04 | 6.95E-06 | | 5.00 | 14684.310530 | 14683.574752 | 14684.289675 | 7.36E-01 | 2.09E-02 |
| | 1.9 | 0.10 | 0.642844 | 0.642830 | 0.642842 | 1.34E-05 | 1.70E-06 | | 1.00 | 3.888977 | 3.888881 | 3.888964 | 9.61E-05 | 1.25E-05 | | 5.00 | 11592.876734 | 11592.589375 | 11592.839334 | 2.87E-01 | 3.74E-02 |
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