Research Article
Solution of Fractional Partial Differential Equations Using Fractional Power Series Method
Table 3
Numerical values for
u (t, x) of equation (
44) for different values of
t and
x.
| | | | | | | |
| | 0.2 | 0.25 | 1.568301816 | 1.757926562 | 2.080012379 | 2.798019675 | 4.912818944 | | 0.50 | 2.013406109 | 2.332758728 | 2.890179752 | 4.141145675 | 6.791936646 | | 0.75 | 2.582956711 | 3.048410210 | 3.910944981 | 5.685815446 | 8.418001219 | | 1 | 3.307965802 | 3.959963255 | 5.203632802 | 7.434136691 | 9.906507037 |
| | 0.5 | 0.25 | 2.116986021 | 2.376294107 | 2.834284463 | 3.918730674 | 7.189418490 | | 0.50 | 2.717813970 | 3.168001876 | 4.003206759 | 5.947667531 | 10.06655772 | | 0.75 | 3.486626866 | 4.168986944 | 5.506335361 | 8.294708222 | 12.55300584 | | 1 | 4.465286775 | 5.459753157 | 7.428416392 | 10.95364021 | 14.82625765 |
| | 0.8 | 0.25 | 2.857632224 | 3.211002984 | 3.852445275 | 5.431532282 | 10.26250643 | | 0.50 | 3.668665124 | 4.295462192 | 5.505636061 | 8.386216959 | 14.48683382 | | 0.75 | 4.706453984 | 5.681607311 | 7.659887116 | 11.81634511 | 18.13467822 | | 1 | 6.027506680 | 7.484257760 | 10.43156010 | 15.70447300 | 21.46722633 |
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