An Efficient Compact Difference Method for Temporal Fractional Subdiffusion Equations

Table 1

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

1/4	1/10	3.7361e–05		3.7314e–05		6.2608e–05
	1/20	9.3611e–06	1.9968	9.3492e–06	1.9968	1.5684e–05	1.9970
	1/40	2.3429e–06	1.9984	2.3399e–06	1.9984	3.9251e–06	1.9985
	1/80	5.8603e–07	1.9992	5.8528e–07	1.9992	9.8176e–07	1.9993
	1/160	1.4654e–07	1.9997	1.4635e–07	1.9997	2.4549e–07	1.9997
	1/320	3.6634e–08	2.0001	3.6587e–08	2.0001	6.1372e–08	2.0000
1/2	1/10	6.7788e–05		6.7702e–05		1.1393e–04
	1/20	1.6994e–05	1.9960	1.6972e–05	1.9960	2.8555e–05	1.9964
	1/40	4.2543e–06	1.9980	4.2489e–06	1.9980	7.1480e–06	1.9981
	1/80	1.0643e–06	1.9990	1.0630e–06	1.9990	1.7882e–06	1.9991
	1/160	2.6617e–07	1.9995	2.6583e–07	1.9995	4.4718e–07	1.9996
	1/320	6.6548e–08	1.9999	6.6463e–08	1.9999	1.1181e–07	1.9999
3/4	1/10	8.8226e–05		8.8110e–05		1.4950e–04
	1/20	2.2098e–05	1.9973	2.2069e–05	1.9973	3.7435e–05	1.9976
	1/40	5.5299e–06	1.9986	5.5226e–06	1.9986	9.3672e–06	1.9987
	1/80	1.3832e–06	1.9993	1.3813e–06	1.9993	2.3429e–06	1.9993
	1/160	3.4587e–07	1.9996	3.4542e–07	1.9996	5.8585e–07	1.9997
	1/320	8.6475e–08	1.9999	8.6361e–08	1.9999	1.4647e–07	1.9999