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

Table 2

Numerical values when 𝛼=0.50, 𝛼=0.75, and 𝛼=1.0 for Example 4.1.

𝑥	𝑡	𝛼=0.50		𝛼=0.75		𝛼=1.0
		u GDTM	u MPA	u GDTM	u MPA	u GDTM	u MPA	u Exact
0.01	0.01	0.4194042447	0.4194042447	0.2926737579	0.2926737582	0.2601012529	0.2601012532	0.2600986403
0.02	0.02	0.5062062188	0.5062062185	0.3234070082	0.3234070086	0.2704098802	0.2704098802	0.2703889140
0.03	0.03	0.5796147904	0.5796147915	0.3516746983	0.3516747025	0.2809328587	0.2809328609	0.2808618961
0.04	0.04	0.6462358324	0.6462358347	0.3787958658	0.3787958858	0.2916767275	0.2916767370	0.2915080826
0.05	0.05	0.7086276674	0.7086276723	0.4053118054	0.4053118748	0.3026475836	0.3026476112	0.3023174246
0.06	0.06	0.7680978547	0.7680978705	0.4315082304	0.4315084185	0.3138510763	0.3138511466	0.3132793692
0.07	0.07	0.8254176805	0.8254177184	0.4575570408	0.4575574788	0.3252924053	0.3252925577	0.3243829010
0.08	0.08	0.8810841195	0.8810842025	0.4835702540	0.4835711634	0.3369763157	0.3369766126	0.3356165892
0.09	0.09	0.9354369921	0.9354371578	0.5096247442	0.5096264889	0.3489070959	0.3489076324	0.3469686330
0.1	0.1	0.9887186126	0.9887189207	0.5357751408	0.5357782276	0.3610885742	0.3610894836	0.35842669144