Research Article
A Comparative Analysis of Fractional Space-Time Advection-Dispersion Equation via Semi-Analytical Methods
Table 1
Analysis of the approximate solution by NITM and HPTM for problem 1.
| | | | | | | | | | |
| 0.1 | 0.5 | 7.65212627 | 3.0000000 | 2.34826106 | 3.0000000 | 1 | 4.64124920 | 2.0000000 | 1.42429233 | 2.0000000 | 1.5 | 2.81505993 | 1.0000000 | 8.63876960 | 1.0000000 | 2 | 1.70742016 | 1.0000000 | 5.23967870 | 1.0000000 | 2.5 | 1.03560267 | 4.0000000 | 3.17802575 | 4.0000000 | 3 | 6.28124775 | 2.0000000 | 1.92757006 | 2.0000000 | 3.5 | 3.80976934 | 2.0000000 | 1.16913033 | 2.0000000 | 4 | 2.31074191 | 1.0000000 | 7.09113390 | 1.0000000 | 4.5 | 1.40153581 | 1.0000000 | 4.30099010 | 1.0000000 | 5 | 8.50074443 | 3.0000000 | 2.60868239 | 3.0000000 |
| 0.2 | 0.5 | 1.09371292 | 5.8000000 | 3.65660312 | 5.8000000 | 1 | 6.63370423 | 3.5000000 | 2.21784191 | 3.5000000 | 1.5 | 4.02354500 | 2.1000000 | 1.34518911 | 2.1000000 | 2 | 2.44040340 | 1.3000000 | 8.15898440 | 1.3000000 | 2.5 | 1.48017948 | 7.8000000 | 4.94867420 | 7.8000000 | 3 | 8.97774240 | 4.7000000 | 3.00152262 | 4.7000000 | 3.5 | 5.44527602 | 2.9000000 | 1.82051550 | 2.9000000 |
| | 4 | 3.30272686 | 1.7000000 | 1.10419847 | 1.7000000 | 4.5 | 2.00320511 | 1.0000000 | 6.69730230 | 1.0000000 | 5 | 1.21500531 | 6.4000000 | 4.06211915 | 6.4000000 | 0.3 | 0.5 | 1.35218250 | 2.9900000 | 4.73151582 | 2.9900000 | 1 | 8.20140147 | 1.8100000 | 2.86980942 | 1.8100000 | 1.5 | 4.97440144 | 1.1000000 | 1.74062739 | 1.1000000 | 2 | 3.01712698 | 6.7000000 | 1.05574388 | 6.7000000 | 2.5 | 1.82998002 | 4.0400000 | 6.40341033 | 4.0400000 | 3 | 1.10993899 | 2.4500000 | 3.88386470 | 2.4500000 | 3.5 | 6.73212028 | 1.4900000 | 2.35568301 | 1.4900000 | 4 | 4.08323736 | 9.0000000 | 1.42879398 | 9.0000000 | 4.5 | 2.47660865 | 5.4000000 | 8.66607360 | 5.4000000 | 5 | 1.50213907 | 3.3200000 | 5.25623929 | 3.32000000 |
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