Research Article
Approximate Analytical Solution of One-Dimensional Beam Equations by Using Time-Fractional Reduced Differential Transform Method
Table 2
Eighth-order approximate numerical solution by FRDTM of Eq. (
28) at different values of
and comparison of absolute error at
.
| x | t | | | Absolute error () | | | |
| 0.1 | 0.2 | 0.00276038 | | | | | 0.4 | 0.03436160 | | | | | 0.6 | 0.15224600 | | | | |
| 0.4 | 0.2 | 0.00380271 | | | | | 0.4 | 0.04531310 | | | | | 0.6 | 0.19812500 | | | | |
| 0.7 | 0.2 | 0.00624869 | 0.0000980408 | 0.0000960865 | 0.0000960865 | | 0.4 | 0.06358160 | 0.0000980408 | 0.0000903016 | 0.0000903016 | | 0.6 | 0.26405700 | 0.0000980408 | 0.0000809166 | 0.0000809166 | |
| 1 | 0.2 | 0.01257680 | 0.0011904800 | 0.0011667500 | 0.0011667500 | | 0.4 | 0.09909390 | 0.0011904800 | 0.0010965000 | 0.0010965000 | | 0.6 | 0.37615100 | 0.0011904800 | 0.0009825420 | 0.0009825420 | |
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