An Efficient Compact Difference Method for Temporal Fractional Subdiffusion Equations

Table 2

The errors and the spatial convergence orders of the compact difference scheme (23) for Example 1  .

1/4	1/2	1.1190e–04		6.4607e–05		9.1369e–05
	1/4	5.4155e–06	4.3690	4.2667e–06	3.9205	5.4429e–06	4.0693
	1/8	2.9041e–07	4.2209	2.6840e–07	3.9907	3.3922e–07	4.0041
	1/16	1.7125e–08	4.0840	1.6758e–08	4.0015	2.1165e–08	4.0024
	1/32	1.0264e–09	4.0604	1.0207e–09	4.0372	1.2889e–09	4.0375
1/2	1/2	1.0340e–04		5.9701e–05		8.4430e–05
	1/4	5.0151e–06	4.3659	3.9472e–06	3.9189	4.9995e–06	4.0779
	1/8	2.6907e–07	4.2202	2.4841e–07	3.9900	3.1142e–07	4.0048
	1/16	1.5831e–08	4.0871	1.5487e–08	4.0036	1.9400e–08	4.0047
	1/32	9.2534e–10	4.0967	9.2011e–10	4.0731	1.1538e–09	4.0716
3/4	1/2	9.3459e–05		5.3959e–05		7.6309e–05
	1/4	4.5477e–06	4.3611	3.5734e–06	3.9165	4.4770e–06	4.0912
	1/8	2.4420e–07	4.2190	2.2506e–07	3.9889	2.7865e–07	4.0060
	1/16	1.4335e–08	4.0905	1.4014e–08	4.0053	1.7372e–08	4.0036
	1/32	8.2043e–10	4.1270	8.1562e–10	4.1028	1.0150e–09	4.0971