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