Research Article
An Improved Version of Residual Power Series Method for Space-Time Fractional Problems
Table 6
The approximate values of
with the parameter
for various orders
and
.
| | | Exact | | | | | | | | | | | | |
| 0.1 | 0.1 | 0.25000 | 0.26702 | 0.26618 | 0.26499 | 0.27667 | 0.27579 | 0.27454 | 0.2 | 0.33333 | 0.34607 | 0.34468 | 0.34272 | 0.36510 | 0.36365 | 0.36160 | 0.3 | 0.50000 | 0.47993 | 0.47735 | 0.47371 | 0.50879 | 0.50614 | 0.50241 | 0.4 | 1.00000 | 0.80639 | 0.79890 | 0.78833 | 0.84529 | 0.83781 | 0.82726 |
| 0.2 | 0.1 | 0.50000 | 0.52218 | 0.51696 | 0.51010 | 0.54089 | 0.53541 | 0.52822 | 0.2 | 0.66667 | 0.67256 | 0.66395 | 0.65263 | 0.70971 | 0.70069 | 0.68884 | 0.3 | 1.00000 | 0.92348 | 0.90747 | 0.88643 | 0.98027 | 0.96386 | 0.94229 | 0.4 | 2.00000 | 1.50712 | 1.46065 | 1.39956 | 1.58512 | 1.53873 | 1.47776 |
| 0.3 | 0.1 | 0.75000 | 0.75361 | 0.73882 | 0.72018 | 0.78022 | 0.76470 | 0.74514 | 0.2 | 1.00000 | 0.95990 | 0.93549 | 0.90473 | 1.01331 | 0.98774 | 0.95554 | 0.3 | 1.50000 | 1.29424 | 1.24887 | 1.19170 | 1.37713 | 1.33062 | 1.27201 | 0.4 | 3.00000 | 1.99655 | 1.86481 | 1.69883 | 2.11404 | 1.98255 | 1.81688 |
| 0.4 | 0.1 | 1.00000 | 0.94945 | 0.91897 | 0.88172 | 0.98220 | 0.95022 | 0.91114 | 0.2 | 1.33333 | 1.18850 | 1.13820 | 1.07672 | 1.25540 | 1.20273 | 1.13835 | 0.3 | 2.00000 | 1.55583 | 1.46234 | 1.34806 | 1.66207 | 1.56622 | 1.44907 | 0.4 | 4.00000 | 2.16900 | 1.89754 | 1.56576 | 2.32658 | 2.05563 | 1.72447 |
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