Comparing Numerical Methods for Solving Time-Fractional Reaction-Diffusion Equations

Table 3

Numerical values when 𝛼=0.50, 𝛼=0.75, 𝛼=1.0, and 𝜇=0.45 for Example 4.2.

𝑥	𝑡	𝛼=0.50, 𝜇=0.45		𝛼=0.75, 𝜇=0.45		𝛼=1.0, 𝜇=0.45
		u GDTM	u MPA	u GDTM	u MPA	u GDTM	u MPA	u Exact
0.001	0.001	0.5002680044	0.5002680043	0.4998996766	0.4998996769	0.4998357227	0.4998357226	0.4998107234
0.002	0.002	0.5002747302	0.5002747301	0.4997749909	0.4997749911	0.4996714440	0.4996714440	0.4996214466
0.003	0.003	0.5002384692	0.5002384695	0.4996438587	0.4996438587	0.4995071641	0.4995071642	0.4994321701
0.004	0.004	0.5001799565	0.5001799565	0.4995089812	0.4995089813	0.4993428826	0.4993428826	0.4992428939
0.005	0.005	0.5001072237	0.5001072235	0.4993715189	0.4993715192	0.4991785998	0.4991785991	0.4990536177
0.006	0.006	0.5000243897	0.5000243893	0.4992321101	0.4992321104	0.4990143154	0.4990143158	0.4988643418
0.007	0.007	0.4999339015	0.4999339013	0.4990911545	0.4990911544	0.4988500295	0.4988500293	0.4986750662
0.008	0.008	0.4998373530	0.4998373532	0.4989489244	0.4989489247	0.4986857419	0.4986857418	0.4984857911
0.009	0.009	0.4997358519	0.4997358518	0.4988056161	0.4988056163	0.4985214527	0.4985214532	0.4982965163
0.01	0.01	0.4996302043	0.4996302048	0.4986613772	0.4986613775	0.4983571616	0.4983571620	0.4981072420