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

Table 6

The numerical results of Example 9 by formula (14) with 𝑝=4.

𝛼	ℎ	The absolute error	The convergence order
0.2	1/10	7.061963𝑒−004	—
	1/20	4.697130𝑒−005	3.9102
	1/40	3.067961𝑒−006	3.9364
	1/80	1.966873𝑒−007	3.9633
0.4	1/10	2.626111𝑒−003	—
	1/20	1.735473𝑒−004	3.9195
	1/40	1.117528𝑒−005	3.9569
	1/80	7.093827𝑒−007	3.9776
0.6	1/10	7.072031𝑒−003	—
	1/20	4.720003𝑒−004	3.9053
	1/40	3.043142𝑒−005	3.9552
	1/80	1.931056𝑒−006	3.9781
0.8	1/10	1.660047𝑒−002	—
	1/20	1.125103𝑒−003	3.8831
	1/40	7.302226𝑒−005	3.9456
	1/80	4.647896𝑒−006	3.9737