Advances in Mathematical Physics / 2019 / Article / Tab 4

Research Article

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

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