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

Table 3

The numerical results of Example 8 with 𝑞=5 by formula (14) with 𝑝=5.

𝛼	ℎ	The absolute error	The convergence order
0.2	1/5	1.243084𝑒−003	—
	1/10	3.601600𝑒−005	5.1091
	1/20	1.098356𝑒−006	5.0352
	1/40	3.392476𝑒−008	5.0169
0.4	1/5	2.128798𝑒−003	—
	1/10	5.880181𝑒−005	5.1780
	1/20	1.756897𝑒−006	5.0648
	1/40	5.363365𝑒−008	5.0337
0.6	1/5	2.304179𝑒−003	—
	1/10	6.169164𝑒−005	5.2230
	1/20	1.810078𝑒−006	5.0910
	1/40	5.461289𝑒−008	5.0507
0.8	1/5	1.548320𝑒−003	—
	1/10	4.138297𝑒−005	5.2255
	1/20	1.193106𝑒−006	5.1162
	1/40	3.557536𝑒−008	5.0677