Research Article
Solution of Fractional Partial Differential Equations Using Fractional Power Series Method
Table 5
Numerical values for
u (x, t) of equation (
61) for different values of
x and
t.
| | | | | | | |
| 0.2 | 0.25 | 3.154830453 | 4.691959285 | 8.866135776 | 22.72166785 | 67.89003771 | 0.50 | 6.561697696 | 11.20075599 | 22.75683011 | 51.52487616 | 108.6954101 | 0.75 | 13.04982396 | 23.14398543 | 44.97510977 | 87.11237439 | 144.2819487 | 1 | 24.42862944 | 42.63967701 | 76.52840205 | 128.5195969 | 176.9305414 |
| 0.5 | 0.25 | 5.748475877 | 8.635877638 | 16.93781919 | 46.24073749 | 145.4330455 | 0.50 | 11.95619272 | 20.95933710 | 44.78616917 | 107.0281709 | 234.3493828 | 0.75 | 23.77832957 | 43.84935668 | 89.83870690 | 182.5069498 | 311.9830971 | 1 | 44.51186494 | 81.45614191 | 154.1476188 | 270.5167864 | 383.2455096 |
| 0.8 | 0.25 | 10.47440597 | 15.82216542 | 31.64538531 | 89.09527647 | 2867256176 | 0.50 | 21.78560356 | 38.74063122 | 84.92624204 | 208.1617677 | 463.3058486 | 0.75 | 43.32694134 | 81.57700295 | 171.5855108 | 356.3271994 | 617.5545123 | 1 | 81.10590594 | 152.1843524 | 295.5790527 | 529.2525354 | 759.1758921 |
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