A New Approach and Solution Technique to Solve Time Fractional Nonlinear Reaction-Diffusion Equations

Table 5

Comparison of numerical results between different methods for the time fractional FitzHugh-Nagumo equation. GDTM: generalized differential transform method, Rida et al. [19], and FVIM: fractional variational iteration method, Merdan, [36].

,
				Present
0.2	0	0.49150484	0.48896821	0.48191202
—	0.25	0.53566881	0.53312591	0.53520376
—	0.5	0.57927974	0.57677042	0.57880163
—	0.75	0.62168644	0.61924846	0.62118883
—	1	0.66230919	0.65997604	0.74220689
,
				Present	Exact
0.2	0	0.49510000	0.49450005	0.49473894	0.49500016
—	0.25	0.53922189	0.53862130	0.53911415	0.53911409
—	0.5	0.58273747	0.58214558	0.58262443	0.58262371
—	0.75	0.62500118	0.62442684	0.62488468	0.62488385
—	1	0.66544142	0.66489240	0.66761495	0.66532300
,
				Present
0	0.2	0.53529653	0.53529653	0.53529653
0.05	—	0.53199661	0.53163167	0.53193245
0.1	—	0.52999926	0.52903570	0.52983082
0.15	—	0.52833265	0.52663211	0.52803767
0.2	—	0.52685856	0.52431371	0.52642106
,
				Present	Exact
0	0.2	0.53529653	0.53529653	0.53529653	0.53529653
0.05	—	0.53405919	0.53402165	0.53405262	0.53405254
0.1	—	0.53283474	0.53268452	0.53280831	0.53280813
0.15	—	0.53162316	0.53128507	0.53156363	0.53156331
0.2	—	0.53042446	0.52982323	0.53031869	0.53031809