The Fractional Complex Step Method

Table 5

Equation (15): 𝐷^1/5𝑥²=3.6∗𝑢^4/5∗(𝑥+𝑢).

𝑢	Equation (15), 𝑥=0.5	MES (𝑥=0.5)	Equation (15), 𝑥=1	MES (𝑥=1)	Equation (15), 𝑥=1.5	MES (𝑥=1.5)
0.01	0.343882	0.118255	1.208668	1.460878	2.463454	6.068605
0.04	0.241972	0.088403	1.014909	1.245459	2.177846	5.405808
0.07	0.145513	0.065993	0.841051	1.066095	1.926588	4.84112
0.1	0.047663	0.050063	0.672382	0.912595	1.687102	4.342418
0.13	−0.0534	0.040621	0.504691	0.781019	1.452785	3.896051
0.16	−0.15846	0.038035	0.336046	0.66967	1.220548	3.494999
0.19	−0.26789	0.042854	0.165375	0.57791	0.988642	3.135344
0.22	−0.38192	0.05573	−0.00798	0.505679	0.755965	2.814861
0.25	−0.50067	0.07739	−0.18445	0.453273	0.521775	2.532349
0.28	−0.6242	0.108613	−0.36433	0.421219	0.285544	2.287267
0.31	−0.75255	0.150225	−0.54783	0.41021	0.046885	2.079534
0.34	−0.88575	0.203085	−0.73512	0.42106	−0.1945	1.909392
0.37	−1.02378	0.268089	−0.9263	0.454674	−0.43882	1.777328
0.4	−1.16666	0.34616	−1.12147	0.512032	−0.68628	1.684017
0.43	−1.31436	0.438252	−1.32068	0.594175	−0.937	1.63028
0.46	−1.46686	0.545342	−1.52398	0.702196	−1.1911	1.617057
0.49	−1.62416	0.668434	−1.73142	0.837232	−1.44867	1.645386