Research Article
Comparing Numerical Methods for Solving Time-Fractional Reaction-Diffusion Equations
Table 3
Numerical values when
,
,
, and
for Example
4.2.
| | | , | , | , | u
GDTM | u
MPA | u
GDTM | u
MPA | u
GDTM | u
MPA | u
Exact |
| 0.001 | 0.001 | 0.5002680044 | 0.5002680043 | 0.4998996766 | 0.4998996769 | 0.4998357227 | 0.4998357226 | 0.4998107234 | 0.002 | 0.002 | 0.5002747302 | 0.5002747301 | 0.4997749909 | 0.4997749911 | 0.4996714440 | 0.4996714440 | 0.4996214466 | 0.003 | 0.003 | 0.5002384692 | 0.5002384695 | 0.4996438587 | 0.4996438587 | 0.4995071641 | 0.4995071642 | 0.4994321701 | 0.004 | 0.004 | 0.5001799565 | 0.5001799565 | 0.4995089812 | 0.4995089813 | 0.4993428826 | 0.4993428826 | 0.4992428939 | 0.005 | 0.005 | 0.5001072237 | 0.5001072235 | 0.4993715189 | 0.4993715192 | 0.4991785998 | 0.4991785991 | 0.4990536177 | 0.006 | 0.006 | 0.5000243897 | 0.5000243893 | 0.4992321101 | 0.4992321104 | 0.4990143154 | 0.4990143158 | 0.4988643418 | 0.007 | 0.007 | 0.4999339015 | 0.4999339013 | 0.4990911545 | 0.4990911544 | 0.4988500295 | 0.4988500293 | 0.4986750662 | 0.008 | 0.008 | 0.4998373530 | 0.4998373532 | 0.4989489244 | 0.4989489247 | 0.4986857419 | 0.4986857418 | 0.4984857911 | 0.009 | 0.009 | 0.4997358519 | 0.4997358518 | 0.4988056161 | 0.4988056163 | 0.4985214527 | 0.4985214532 | 0.4982965163 | 0.01 | 0.01 | 0.4996302043 | 0.4996302048 | 0.4986613772 | 0.4986613775 | 0.4983571616 | 0.4983571620 | 0.4981072420 |
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