Research Article
Comparing Numerical Methods for Solving Time-Fractional Reaction-Diffusion Equations
Table 2
Numerical values when
,
, and
for Example
4.1.
| | | | | | u
GDTM | u
MPA | u
GDTM | u
MPA | u
GDTM | u
MPA | u
Exact |
| 0.01 | 0.01 | 0.4194042447 | 0.4194042447 | 0.2926737579 | 0.2926737582 | 0.2601012529 | 0.2601012532 | 0.2600986403 | 0.02 | 0.02 | 0.5062062188 | 0.5062062185 | 0.3234070082 | 0.3234070086 | 0.2704098802 | 0.2704098802 | 0.2703889140 | 0.03 | 0.03 | 0.5796147904 | 0.5796147915 | 0.3516746983 | 0.3516747025 | 0.2809328587 | 0.2809328609 | 0.2808618961 | 0.04 | 0.04 | 0.6462358324 | 0.6462358347 | 0.3787958658 | 0.3787958858 | 0.2916767275 | 0.2916767370 | 0.2915080826 | 0.05 | 0.05 | 0.7086276674 | 0.7086276723 | 0.4053118054 | 0.4053118748 | 0.3026475836 | 0.3026476112 | 0.3023174246 | 0.06 | 0.06 | 0.7680978547 | 0.7680978705 | 0.4315082304 | 0.4315084185 | 0.3138510763 | 0.3138511466 | 0.3132793692 | 0.07 | 0.07 | 0.8254176805 | 0.8254177184 | 0.4575570408 | 0.4575574788 | 0.3252924053 | 0.3252925577 | 0.3243829010 | 0.08 | 0.08 | 0.8810841195 | 0.8810842025 | 0.4835702540 | 0.4835711634 | 0.3369763157 | 0.3369766126 | 0.3356165892 | 0.09 | 0.09 | 0.9354369921 | 0.9354371578 | 0.5096247442 | 0.5096264889 | 0.3489070959 | 0.3489076324 | 0.3469686330 | 0.1 | 0.1 | 0.9887186126 | 0.9887189207 | 0.5357751408 | 0.5357782276 | 0.3610885742 | 0.3610894836 | 0.35842669144 |
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