Research Article
Analytical Solution of Space-Time Fractional Fokker-Planck Equation by Homotopy Perturbation Sumudu Transform Method
Table 1
Comparison study for solution of (
42) for
, when
and
. by various methods.
| | | HPSTM | ADM (see [20]) | EXACT (see [20]) |
| 0.2 | 0.25 | 0.076333 | 0.076333 | 0.076338 | 0.2 | 0.50 | 0.305333 | 0.305333 | 0.305351 | 0.2 | 0.75 | 0.687000 | 0.687000 | 0.687039 | 0.2 | 1.00 | 1.221333 | 1.221333 | 1.221403 | 0.4 | 0.25 | 0.093167 | 0.093167 | 0.093239 | 0.4 | 0.50 | 0.372667 | 0.372667 | 0.372956 | 0.4 | 0.75 | 0.838500 | 0.838500 | 0.839151 | 0.4 | 1.00 | 1.490667 | 1.490667 | 1.491825 | 0.6 | 0.25 | 0.113500 | 0.113500 | 0.113882 | 0.6 | 0.50 | 0.454000 | 0.454000 | 0.455530 | 0.6 | 0.75 | 1.021500 | 1.021500 | 1.024942 | 0.6 | 1.00 | 1.816000 | 1.816000 | 1.822119 |
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