The Fractional Complex Step Method

Table 3

Equations (13) and (16): 𝐷^1/5𝑥²=1.8∗𝑢^4/5∗(𝑥−𝑢).

𝑢	Equation (13), 𝑥=0.5	MES (𝑥=0.5)	Equation (13), 𝑥=1	MES (𝑥=1)	Equation (13), 𝑥=1.5	MES (𝑥=1.5)
0.01	0.367845	0.13531	1.255238	1.575623	2.532631	6.414221
0.04	0.326951	0.121104	1.168419	1.470413	2.399888	6.086841
0.07	0.297781	0.110294	1.10055	1.384012	2.293319	5.810998
0.1	0.275888	0.101749	1.043247	1.310101	2.200607	5.568916
0.13	0.259795	0.094898	0.993841	1.245625	2.117888	5.352223
0.16	0.248731	0.089392	0.950982	1.188748	2.043233	5.155986
0.19	0.242213	0.085003	0.913846	1.138229	1.97548	4.97692
0.22	0.239904	0.081572	0.881876	1.093164	1.913848	4.812656
0.25	0.241555	0.078992	0.854666	1.052863	1.857777	4.661398
0.28	0.246972	0.077192	0.831908	1.016783	1.806844	4.521727
0.31	0.255997	0.076132	0.813356	0.984489	1.760716	4.39249
0.34	0.2685	0.075796	0.798813	0.955624	1.719126	4.272732
0.37	0.284372	0.076186	0.788113	0.929893	1.681853	4.161647
0.4	0.303519	0.077324	0.781114	0.907053	1.648709	4.058547
0.43	0.325858	0.079248	0.777697	0.886904	1.619537	3.962837
0.46	0.351315	0.082009	0.777757	0.869279	1.594199	3.874002
0.49	0.379827	0.085671	0.781201	0.854044	1.572574	3.791589