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

Table 7

The numerical results of Example 9 by formula (14) with 𝑝=5.

𝛼	ℎ	The absolute error	The convergence order
0.2	1/5	3.255980𝑒−004	—
	1/10	2.611815𝑒−005	3.6400
	1/20	1.709675𝑒−006	3.9333
	1/40	7.187111𝑒−008	4.5722
0.4	1/5	4.502359𝑒−003	—
	1/10	1.361298𝑒−004	5.0476
	1/20	4.930325𝑒−006	4.7872
	1/40	1.689483𝑒−007	4.8670
0.6	1/5	1.726870𝑒−002	—
	1/10	4.858555𝑒−004	5.1515
	1/20	1.493401𝑒−005	5.0239
	1/40	4.654620𝑒−007	5.0038
0.8	1/5	4.809699𝑒−002	—
	1/10	1.421046𝑒−003	5.0809
	1/20	4.352885𝑒−005	5.0288
	1/40	1.348082𝑒−006	5.0130