Exact Solutions of the 3D Fractional Helmholtz Equation by Fractional Differential Transform Method

Table 3

Exact solution of nonfractional order and tenth-order approximate solutions by FRDTM.

	Nonfractional order ()				Fractional order
	0.2	0.2	0.631159	0.631159	0	0.588705	0.442158	0.345033
0.5		0.306216	0.306216		0.200098	0.0445607	0.0345265
0.8		-0.151434	-0.151434		-0.209474	-0.130004	-0.0476061
0.5	0.2	0.901656	0.901656	0	0.841007	0.631655	0.492904
	0.5	0.437451	0.437451		0.285854	0.0636582	0.0493236
	0.8	-0.216334	-0.216334	0	-0.299248	-0.18572	-0.0680088
0.8	0.2	1.17215	1.17215	0	1.09331	0.821151	0.640775
	0.5	0.568687	0.568687	0	0.37161	0.0827556	0.0641206
	0.8	-0.281234	-0.281234		-0.389023	-0.241436	-0.0884114