Research Article
A Numerical Solution to Fractional Diffusion Equation for Force-Free Case
Table 4
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 | 0.1 | 0.018556 | 0.018710 | 0.018722 | 0.018723 | 0.018574 | 0.2 | 0.035089 | 0.035453 | 0.035475 | 0.035477 | 0.035331 | 0.3 | 0.048219 | 0.048611 | 0.048642 | 0.048644 | 0.048629 | 0.4 | 0.056522 | 0.056992 | 0.057028 | 0.057031 | 0.057166 | 0.5 | 0.059360 | 0.059868 | 0.059905 | 0.059909 | 0.060108 | 0.6 | 0.056522 | 0.056992 | 0.057028 | 0.057031 | 0.057166 | 0.7 | 0.048219 | 0.048611 | 0.048642 | 0.048644 | 0.048629 | 0.8 | 0.035089 | 0.035453 | 0.035475 | 0.035477 | 0.035331 | 0.9 | 0.018556 | 0.018710 | 0.018722 | 0.018723 | 0.018574 | 1.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
| | 0.449135 | 0.136253 | 0.128451 | 0.127966 | ā | | 0.747758 | 0.240523 | 0.203042 | 0.199418 | ā |
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