The Fractional Complex Step Method

Table 2

Equation (10): 𝐷^1/5𝑥²=1.8∗𝑢^4/5∗(𝑥+𝑢).

𝑢	Equation (10), 𝑥=0.5	MES (𝑥=0.5)	Equation (10), 𝑥=1	MES (𝑥=1)	Equation (10), 𝑥=1.5	MES (𝑥=1.5)
0.01	0.366941	0.134646	1.254334	1.573354	2.531727	6.409641
0.04	0.315986	0.117246	1.157454	1.339701	2.388923	6.058297
0.07	0.267756	0.102062	1.070525	1.146025	2.263294	5.746365
0.1	0.218832	0.088518	0.986191	0.972573	2.143551	5.458476
0.13	0.168299	0.07648	0.902346	0.814228	2.026393	5.188034
0.16	0.115772	0.065967	0.818023	0.669161	1.910274	4.931553
0.19	0.061054	0.057076	0.732688	0.536831	1.794321	4.686986
0.22	0.004039	0.049943	0.646011	0.41733	1.677983	4.453066
0.25	−0.05533	0.044734	0.557777	0.311115	1.560888	4.228989
0.28	−0.1171	0.041632	0.467836	0.218871	1.442772	4.014249
0.31	−0.18128	0.040835	0.376083	0.141438	1.323442	3.808545
0.34	−0.24787	0.042552	0.282439	0.079772	1.202752	3.611717
0.37	−0.31689	0.047003	0.186848	0.034912	1.080588	3.423713
0.4	−0.38833	0.054417	0.089267	0.007969	0.956862	3.244561
0.43	−0.46218	0.06503	−0.01034	0.000107	0.831502	3.07435
0.46	−0.53843	0.079085	−0.11199	0.012542	0.704452	2.913219
0.49	−0.61708	0.096832	−0.21571	0.04653	0.575665	2.761347