Research Article
Fast High-Order Difference Scheme for the Modified Anomalous Subdiffusion Equation Based on Fast Discrete Sine Transform
Table 4
The
-norm errors in space for nonsmooth case in Example
1 with
.
| | | | | | error | Rate | error | Rate | error | Rate |
| | 4 | 4.01E-04 | — | 5.32E-04 | — | 5.79E-04 | — | 8 | 1.59E-04 | 1.34 | 2.76E-05 | 4.27 | 1.91E-05 | 4.92 | 16 | 1.93E-04 | -0.28 | 6.19E-05 | -1.16 | 1.52E-05 | 0.33 |
| | 4 | 5.08E-04 | — | 5.87E-04 | — | 5.93E-04 | — | 8 | 5.28E-05 | 3.27 | 2.59E-05 | 4.50 | 3.16E-05 | 4.23 | 16 | 8.72E-05 | -0.72 | 8.49E-06 | 1.61 | 2.80E-06 | 3.50 |
| | 4 | 4.86E-04 | — | 5.74E-04 | — | 5.89E-04 | — | 8 | 7.49E-05 | 2.70 | 1.34E-05 | 5.42 | 2.81E-05 | 4.39 | 16 | 1.09E-04 | -0.54 | 2.09E-05 | -0.64 | 6.22E-06 | 2.18 |
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