Research Article
An Improved Version of Residual Power Series Method for Space-Time Fractional Problems
Table 5
The approximate values of
for various values of
at
and
.
| | | Exact | | | | | |
| 0.1 | 0.1 | 0.25000 | -0.00069 | 0.12385 | 0.24736 | 0.36982 | 0.73096 | 0.2 | 0.33333 | -0.01045 | 0.15568 | 0.31996 | 0.48238 | 0.95855 | 0.3 | 0.50000 | -0.05424 | 0.19548 | 0.44103 | 0.68242 | 1.38158 | 0.4 | 1.00000 | -0.26021 | 0.24325 | 0.73005 | 1.20018 | 2.51057 |
| 0.2 | 0.1 | 0.50000 | 0.00045 | 0.24683 | 0.48487 | 0.71458 | 1.35370 | 0.2 | 0.66667 | -0.01960 | 0.30944 | 0.62366 | 0.92307 | 1.73240 | 0.3 | 1.00000 | -0.10992 | 0.38784 | 0.85226 | 1.28336 | 2.37663 | 0.4 | 2.00000 | -0.54568 | 0.48203 | 1.37640 | 2.13744 | 3.62055 |
| 0.3 | 0.1 | 0.75000 | 0.00527 | 0.36804 | 0.70268 | 1.00920 | 1.75999 | 0.2 | 1.00000 | -0.02614 | 0.45936 | 0.89486 | 1.28036 | 2.13685 | 0.3 | 1.50000 | -0.16847 | 0.57396 | 1.20389 | 1.72132 | 2.59862 | 0.4 | 3.00000 | -0.88166 | 0.71184 | 1.85534 | 2.54885 | 1.92936 |
| 0.4 | 0.1 | 1.00000 | 0.01561 | 0.48661 | 0.89095 | 1.22861 | 1.84161 | 0.2 | 1.33333 | -0.02877 | 0.60352 | 1.11729 | 1.51255 | 1.98720 | 0.3 | 2.00000 | -0.23134 | 0.75072 | 1.46612 | 1.91484 | 1.66103 | 0.4 | 4.00000 | -1.29343 | 0.92821 | 2.08319 | 2.17149 | -3.96359 |
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