Advances in Mathematical Physics / 2019 / Article / Tab 1

Research Article

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

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