Research Article
Series Solutions of Time-Fractional PDEs by Homotopy Analysis Method
Table 3
Approximate
solution of (
4.30) for some values of
using the 3-term HAM approximation,
,
with
and
| | | | | | | | | | | | | | Exact |
| 0.1 | 0.25 | 0.946129 | 0.984066 | 0.488195 | 0.496911 | 0.317948 | 0.319612 | 0.316042 | 0.50 | 0.843908 | 0.883590 | 0.405740 | 0.414926 | 0.250500 | 0.252292 | 0.250000 | 0.75 | 0.715013 | 0.752540 | 0.324453 | 0.333180 | 0.190964 | 0.192689 | 0.191689 | 1.0 | 0.576466 | 0.609185 | 0.249683 | 0.257315 | 0.140979 | 0.142501 | 0.142537 |
| 0.2 | 0.25 | 1.475318 | 1.551785 | 0.791250 | 0.816533 | 0.481199 | 0.488421 | 0.461284 | 0.50 | 1.359827 | 1.439679 | 0.690146 | 0.716646 | 0.396941 | 0.404576 | 0.387456 | 0.75 | 1.180981 | 1.256421 | 0.574405 | 0.599498 | 0.315266 | 0.322535 | 0.316042 | 1.0 | 0.970078 | 1.035807 | 0.456647 | 0.478543 | 0.241175 | 0.247540 | 0.250000 |
| 0.3 | 0.25 | 1.967448 | 2.082543 | 1.124230 | 1.171123 | 0.681440 | 0.698116 | 0.604195 | 0.50 | 1.845234 | 1.965336 | 1.009482 | 1.058531 | 0.581860 | 0.599391 | 0.534447 | 0.75 | 1.622908 | 1.736324 | 0.859509 | 0.905896 | 0.475833 | 0.492464 | 0.461284 | 1.0 | 1.345505 | 1.444292 | 0.695479 | 0.735922 | 0.372917 | 0.387446 | 0.387456 |
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