Advances in Mathematical Physics / 2019 / Article / Tab 3

Research Article

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

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