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