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

Table 5

The numerical results of Example 9 by formula (14) with 𝑝=3.

𝛼	ℎ	The absolute error	The convergence order
0.2	1/20	8.448207𝑒−004	—
	1/40	1.101436𝑒−004	2.9393
	1/80	1.406092𝑒−005	2.9696
	1/160	1.776240𝑒−006	2.9848
0.4	1/20	2.742719𝑒−003	—
	1/40	3.594722𝑒−004	2.9317
	1/80	4.599387𝑒−005	2.9664
	1/160	5.816133𝑒−006	2.9816
0.6	1/20	6.698506𝑒−003	—
	1/40	8.826119𝑒−004	2.9240
	1/80	1.132122𝑒−004	2.9628
	1/160	1.433358𝑒−005	2.9816
0.8	1/20	1.458663𝑒−002	—
	1/40	1.931852𝑒−003	2.9166
	1/80	2.484219𝑒−004	2.9591
	1/160	3.149142𝑒−005	2.9798