Research Article
Approximate Analytical Solution of One-Dimensional Beam Equations by Using Time-Fractional Reduced Differential Transform Method
Table 1
Ninth-order approximate numerical solution by FRDTM of Eq. (
21) at different values of
and comparison of absolute error at
.
| x | t | | | Absolute error () | | | |
| 4 | 1 | 0.209769 | 0.274293 | 0.283662 | 0.283662 | 0 | 2 | 0.312931 | 0.589007 | 0.960029 | 0.960170 | | 3 | 0.117991 | 0.365617 | 0.747129 | 0.753902 | |
| 6 | 1 | 0.515730 | 0.603985 | 0.753903 | 0.753902 | | 2 | 0.241086 | -0.030377 | -0.145223 | -0.145500 | | 3 | 0.849243 | -0.183085 | -0.895349 | -0.911130 | |
| 8 | 1 | -0.639008 | -0.776986 | -0.911130 | -0.911130 | 0 | 2 | -0.513585 | -0.563724 | -0.839161 | -0.839072 | | 3 | -0.824811 | -0.213237 | -0.001936 | 0.004423 | |
| 10 | 1 | 0.016113 | 0.042696 | 0.004425 | 0.004426 | | 2 | 0.186367 | 0.499561 | 0.843651 | 0.843854 | | 3 | -0.162758 | 0.360561 | 0.896961 | 0.907447 | |
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