Advances in Mathematical Physics / 2019 / Article / Tab 2

Research Article

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

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