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

Table 8

The numerical results of Example 9 by formula (14) with 𝑝=6.

𝛼	ℎ	The absolute error	The convergence order
0.2	1/5	1.624059𝑒−003	—
	1/10	1.004444𝑒−005	7.3371
	1/20	4.333263𝑒−007	4.5348
	1/40	7.431670𝑒−009	5.8656
0.4	1/5	3.378083𝑒−003	—
	1/10	1.682553𝑒−006	10.9713
	1/20	3.570178𝑒−007	2.2366
	1/40	7.098342𝑒−009	5.6524
0.6	1/5	4.899244𝑒−003	—
	1/10	1.910223𝑒−005	8.0027
	1/20	3.435689𝑒−008	9.1189
	1/40	2.811996𝑒−009	3.6109
0.8	1/5	4.824629𝑒−003	—
	1/10	3.070796𝑒−005	7.2957
	1/20	3.129379𝑒−007	6.6166
	1/40	3.973945𝑒−009	6.2992