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

Table 4

The numerical results of Example 8 with 𝑞=6 by formula (14) with 𝑝=6.

𝛼	ℎ	The absolute error	The convergence order
0.2	1/5	1.366727𝑒−003	—
	1/10	1.834110𝑒−005	6.2195
	1/20	2.831669𝑒−007	6.0173
	1/40	4.352325𝑒−009	6.0237
0.4	1/5	2.458586𝑒−003	—
	1/10	2.979151𝑒−005	6.3668
	1/20	4.561725𝑒−007	6.0292
	1/40	6.997415𝑒−009	6.0266
0.6	1/5	2.796453𝑒−003	—
	1/10	3.106344𝑒−005	6.4922
	1/20	4.745505𝑒−007	6.0325
	1/40	7.487801𝑒−009	5.9859
0.8	1/5	81.968603𝑒−003	—
	1/10	2.092182𝑒−005	6.5560
	1/20	3.168932𝑒−007	6.0449
	1/40	4.769865𝑒−009	6.0539