Research Article
Solution of the Porous Media Equation by a Compact Finite Difference Method
Table 6
Convergence rate (CR) of the present scheme:
Comparisons on various values of
and
for
3.5.
| | | |
| | Average absolute
error | CR | | Average
absolute error | CR | | Average absolute
error | CR |
| | 5.84E-09 | | | 6.82E-10 | | | 8.95E-10 | | | 6.86E-10 | 5.28 | | 3.84E-10 | 5.45 | | 5.06E-10 | 5.42 | | 1.48E-10 | 5.34 | | 2.27E-10 | 5.54 | | 2.99E-10 | 5.51 | | 4.36E-11 | 5.46 | | 1.39E-10 | 5.62 | | 1.84E-10 | 5.60 | | 1.58E-11 | 5.57 | | 8.80E-11 | 5.71 | | 1.17E-10 | 5.68 | | 6.57E-12 | 5.69 | | 5.72E-11 | 5.80 | | 7.60E-11 | 5.77 | | 3.03E-12 | 5.80 | | 3.81E-11 | 5.89 | | 5.07E-11 | 5.86 | | 1.51E-12 | 5.91 | | 2.59E-11 | 5.98 | | 3.45E-11 | 5.95 | | 8.02E-13 | 6.02 | | 1.79E-11 | 6.07 | | 2.39E-11 | 6.05 | | 4.47E-13 | 6.14 | | 1.26E-11 | 6.16 | | 1.68E-11 | 6.15 |
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