An Efficient Compact Difference Method for Temporal Fractional Subdiffusion Equations

Table 4

The errors and the spatial convergence orders of the compact difference scheme (23) for Example 2  .

1/4	1/2	1.2909e–04		7.4532e–05		1.0540e–04
	1/4	6.2469e–06	4.3691	4.9219e–06	3.9206	6.2789e–06	4.0693
	1/8	3.3499e–07	4.2210	3.0961e–07	3.9907	3.9130e–07	4.0042
	1/16	1.9745e–08	4.0846	1.9323e–08	4.0021	2.4403e–08	4.0031
	1/32	1.1750e–09	4.0707	1.1685e–09	4.0475	1.4745e–09	4.0488
1/2	1/2	1.1929e–04		6.8871e–05		9.7399e–05
	1/4	5.7849e–06	4.3660	4.5533e–06	3.9189	5.7675e–06	4.0779
	1/8	3.1036e–07	4.2203	2.8654e–07	3.9901	3.5923e–07	4.0050
	1/16	1.8246e–08	4.0883	1.7849e–08	4.0048	2.2357e–08	4.0061
	1/32	1.0507e–09	4.1182	1.0447e–09	4.0946	1.3056e–09	4.0980
3/4	1/2	1.0782e–04		6.2247e–05		8.8031e–05
	1/4	5.2457e–06	4.3613	4.1220e–06	3.9166	5.1648e–06	4.0912
	1/8	2.8166e–07	4.2191	2.5959e–07	3.9891	3.2142e–07	4.0062
	1/16	1.6515e–08	4.0921	1.6146e–08	4.0070	2.0016e–08	4.0053
	1/32	9.2416e–10	4.1595	9.1874e–10	4.1354	1.1316e–09	4.1447