Research Article
Solution of the Porous Media Equation by a Compact Finite Difference Method
Table 8
The absolute errors for
various values of
,
and
for
in Example
3.2.
| | | | | | Absolute error | CPU (s) | Absolute error | CPU (s) |
| | 0.1 | 1.0E-04 | 1.11E-14 | 0.0 | 1.74E-04 | 0.0 | | 1.0E-05 | 7.09E-14 | 2.0 | 3.04E-15 | 3.0 | | 1.0E-06 | 4.77E-14 | 16.0 | 3.04E-14 | 30.0 | | 1.0E-07 | 2.49E-13 | 162.0 | 3.03E-13 | 295.0 | | 1.0E-08 | 3.25E-12 | 1640.0 | 3.27E-12 | 2964.0 |
| | 0.5 | 1.0E-04 | 2.26E-15 | 0.0 | 8.19E-04 | 0.0 | | 1.0E-05 | 1.19E-14 | 2.0 | 7.61E-15 | 3.0 | | 1.0E-06 | 8.17E-14 | 16.0 | 7.66E-14 | 30.0 | | 1.0E-07 | 8.26E-13 | 162.0 | 7.84E-13 | 295.0 | | 1.0E-08 | 8.74E-12 | 1640.0 | 8.62E-12 | 2964.0 |
| | 0.9 | 1.0E-04 | 1.65E-14 | 0.00 | 7.02E-04 | 0.0 | | 1.0E-05 | 8.23E-14 | 2.00 | 2.50E-15 | 3.0 | | 1.0E-06 | 1.15E-13 | 16.00 | 2.28E-14 | 30.0 | | 1.0E-07 | 3.66E-13 | 162.00 | 2.12E-13 | 295.0 | | 1.0E-08 | 3.07E-12 | 1640.00 | 2.76E-12 | 2964.0 |
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