Determination of Coefficients of High-Order Schemes for Riemann-Liouville Derivative

Table 2

The numerical results of Example 8 with 𝑞=4 by formula (14) with 𝑝=4.

𝛼	ℎ	The absolute error	The convergence order
0.2	1/10	8.565957𝑒−005	—
	1/20	5.244691𝑒−006	4.0297
	1/40	3.248631𝑒−007	4.0130
	1/80	2.021606𝑒−008	4.0063
0.4	1/10	1.389875𝑒−004	—
	1/20	8.345704𝑒−006	4.0578
	1/40	5.123066𝑒−007	4.0578
	1/80	3.174360𝑒−008	4.0125
0.6	1/10	1.451794𝑒−004	—
	1/20	8.553695𝑒−006	4.0851
	1/40	5.203490𝑒−007	4.0390
	1/80	3.210299𝑒−008	4.0187
0.8	1/10	9.693830𝑒−005	—
	1/20	5.608540𝑒−006	4.1114
	1/40	3.381060𝑒−007	4.0521
	1/80	2.076976𝑒−008	4.0249