Research Article
A Numerical Solution to Fractional Diffusion Equation for Force-Free Case
Table 3
The comparison of the exact solutions with the numerical solutions with
,
, and
for different values of
and the error norms
and
.
| | | | | | | Exact |
| 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.1 | 0.018544 | 0.018677 | 0.018710 | 0.018718 | 0.018719 | 0.018574 | 0.2 | 0.035151 | 0.035393 | 0.035453 | 0.035468 | 0.035470 | 0.035331 | 0.3 | 0.048210 | 0.048531 | 0.048611 | 0.048631 | 0.048633 | 0.048629 | 0.4 | 0.056530 | 0.056900 | 0.056992 | 0.057015 | 0.057018 | 0.057166 | 0.5 | 0.048210 | 0.059771 | 0.059868 | 0.059892 | 0.059895 | 0.060108 | 0.6 | 0.056530 | 0.056900 | 0.056992 | 0.057015 | 0.057018 | 0.057166 | 0.7 | 0.048210 | 0.048531 | 0.048611 | 0.048631 | 0.048633 | 0.048629 | 0.8 | 0.035151 | 0.035393 | 0.035453 | 0.035468 | 0.035470 | 0.035331 | 0.9 | 0.018544 | 0.018677 | 0.018710 | 0.018718 | 0.018719 | 0.018574 | 1.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
| | 0.418167 | 0.174101 | 0.136253 | 0.130959 | 0.130466 | ā | | 0.722901 | 0.336912 | 0.240523 | 0.216433 | 0.213542 | ā |
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