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

Table 2

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

	Nonfractional order ()				Fractional order
	0.2	0.2	0.714047	0.714047	0	0.737811	0.760876	0.797191
0.5		0.789338	0.789338		0.87164	0.936162	1.02565
0.8		0.936204	0.936204		1.08973	1.20119	1.35002
0.5	0.2	1.02007	1.02007	0	1.05402	1.08697	1.13884
	0.5	1.12763	1.12763	0	1.2452	1.33737	1.46522
	0.8	1.33743	1.33743	0	1.55675	1.71599	1.9286
0.8	0.2	1.32609	1.32609		1.37022	1.41306	1.4805
	0.5	1.46591	1.46591	0	1.61876	1.73859	1.90478
	0.8	1.73867	1.73867		2.02378	2.23079	2.50718