The Fractional Complex Step Method

Table 6

Equations (17)–(20): 𝐷^1/5𝑥²=1.8∗𝑢^4/5∗𝑥.

𝑢	Equations (17)–(20), 𝑥=0.5	MES (𝑥=0.5)	Equations (17)–(20), 𝑥=1	MES (𝑥=1)	Equations (17)–(20), 𝑥=1.5	MES (𝑥=1.5)
0.01	0.367393	0.134978	1.254786	1.574488	2.532179	6.411931
0.04	0.321468	0.11916	1.162937	1.463455	2.394405	6.072554
0.07	0.282769	0.106093	1.085538	1.368434	2.278307	5.778596
0.1	0.24736	0.094866	1.014719	1.283739	2.172079	5.513429
0.13	0.214047	0.085056	0.948094	1.206768	2.07214	5.269496
0.16	0.182251	0.076416	0.884502	1.136031	1.976754	5.042506
0.19	0.151633	0.068784	0.823267	1.070565	1.8849	4.829698
0.22	0.121972	0.062046	0.763943	1.009695	1.795915	4.629149
0.25	0.093111	0.056115	0.706221	0.952923	1.709332	4.439446
0.28	0.064936	0.050925	0.649872	0.899864	1.624808	4.259501
0.31	0.03736	0.046423	0.59472	0.850212	1.542079	4.088456
0.34	0.010313	0.042563	0.540626	0.803718	1.460939	3.925614
0.37	−0.01626	0.039309	0.48748	0.760173	1.38122	3.770395
0.4	−0.0424	0.03663	0.43519	0.719403	1.302786	3.622313
0.43	−0.06816	0.034498	0.38368	0.681257	1.22552	3.480952
0.46	−0.09356	0.032888	0.332884	0.645604	1.149325	3.345952
0.49	−0.11863	0.031782	0.282746	0.61233	1.074119	3.216998