Research Article
Approximate Analytical Solution of One-Dimensional Beam Equations by Using Time-Fractional Reduced Differential Transform Method
Table 4
First-order approximate numerical solution by FRDTM of Eq. (
37) at different values of
and comparison of absolute error at
.
| x | t | | | Absolute error () | | | |
| 0.1 | 0.1 | 0.0000158489 | 0.0000125893 | 0.00001 | 0.00001 | | 0.3 | 0.0000381678 | 0.0000338383 | 0.00003 | 0.00003 | | 0.5 | 0.0000574349 | 0.0000535887 | 0.00005 | 0.00005 | |
| 0.4 | 0.1 | 0.00405733 | 0.00322285 | 0.00256 | 0.00256 | | 0.3 | 0.00977095 | 0.00866262 | 0.00768 | 0.00768 | | 0.5 | 0.01470330 | 0.01371870 | 0.01280 | 0.01280 | |
| 0.7 | 0.1 | 0.03805330 | 0.0302268 | 0.02401 | 0.02401 | | 0.3 | 0.09164090 | 0.0812459 | 0.07203 | 0.07203 | | 0.5 | 0.13790100 | 0.1286660 | 0.12005 | 0.12005 | |
| 1 | 0.1 | 0.15848900 | 0.1258930 | 0.10000 | 0.10000 | | 0.3 | 0.38167800 | 0.3383830 | 0.30000 | 0.30000 | | 0.5 | 0.57434900 | 0.5358870 | 0.50000 | 0.50000 | |
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