An Efficient Compact Difference Method for Temporal Fractional Subdiffusion Equations

Table 3

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

1/4	1/10	9.5681e–05		9.5622e–05		1.3266e–04
	1/20	2.3985e–05	1.9961	2.3971e–05	1.9961	3.3254e–05	1.9961
	1/40	6.0044e–06	1.9981	6.0007e–06	1.9981	8.3244e–06	1.9981
	1/80	1.5021e–06	1.9990	1.5012e–06	1.9990	2.0825e–06	1.9991
	1/160	3.7564e–07	1.9996	3.7541e–07	1.9996	5.2078e–07	1.9996
	1/320	9.3916e–08	1.9999	9.3859e–08	1.9999	1.3020e–07	1.9999
1/2	1/10	1.7283e–04		1.7272e–04		2.4033e–04
	1/20	4.3358e–05	1.9950	4.3331e–05	1.9950	6.0286e–05	1.9951
	1/40	1.0858e–05	1.9975	1.0852e–05	1.9975	1.5097e–05	1.9976
	1/80	2.7169e–06	1.9987	2.7153e–06	1.9987	3.7774e–06	1.9988
	1/160	6.7952e–07	1.9994	6.7910e–07	1.9994	9.4474e–07	1.9994
	1/320	1.6991e–07	1.9998	1.6980e–07	1.9998	2.3622e–07	1.9998
3/4	1/10	2.2075e–04		2.2061e–04		3.0894e–04
	1/20	5.5326e–05	1.9964	5.5291e–05	1.9964	7.7418e–05	1.9966
	1/40	1.3849e–05	1.9981	1.3841e–05	1.9981	1.9378e–05	1.9983
	1/80	3.4646e–06	1.9991	3.4624e–06	1.9991	4.8476e–06	1.9991
	1/160	8.6641e–07	1.9995	8.6587e–07	1.9995	1.2123e–06	1.9996
	1/320	2.1663e–07	1.9998	2.1650e–07	1.9998	3.0311e–07	1.9998