Research Article
Interval Shannon Wavelet Collocation Method for Fractional Fokker-Planck Equation
Table 2
Influence of
on the numerical precision (
,
).
| | | | | Interval FDM | Interval WCM () | Dynamic interval WCM | Interval FDM | Interval WCM () | Dynamic interval WCM |
| 4 | 0.8 | 5.5367 × 10−6 | 8.1588 × 10−5 | 5.5920 × 10−6 | 4.1037 × 10−6 | 5.8298 × 10−5 | 4.1514 × 10−6 | 0.6 | 5.7907 × 10−6 | 4.1158 × 10−4 | 7.1813 × 10−6 | 4.2424 × 10−6 | 2.9468 × 10−4 | 5.5971 × 10−6 | 0.4 | 3.5309 × 10−6 | 9.1673 × 10−4 | 3.7967 × 10−5 | 2.6232 × 10−6 | 6.3692 × 10−4 | 2.1348 × 10−5 |
| 5 | 0.8 | 5.5551 × 10−6 | 8.2118 × 10−5 | 5.8424 × 10−6 | 4.1718 × 10−6 | 5.9148 × 10−5 | 4.4649 × 10−6 | 0.6 | 5.7760 × 10−6 | 4.0932 × 10−4 | 8.9707 × 10−6 | 4.2907 × 10−6 | 2.9753 × 10−4 | 7.5330 × 10−6 | 0.4 | 6.5910 × 10264 | 0.3971 | 0.0585 | inf | 0.1195 | 0.0491 |
| 6 | 0.8 | 5.5563 × 10−6 | 8.1965 × 10−5 | 1.3154 × 10−5 | 4.2041 × 10−6 | 5.9517 × 10−5 | 8.6913 × 10−6 | 0.6 | 3.7124 × 10265 | 0.0554 | 0.0096 | inf | 0.0105 | 0.0076 | 0.4 | inf | 1.2637 × 103 | 0.0588 | inf | 375.3305 | 0.0499 |
| 7 | 0.8 | 3.4932 × 10243 | 0.0031 | 0.0019 | inf | 3.8313 × 10−4 | 1.2937 × 10−4 | 0.6 | inf | 216.5596 | 23.7361 | inf | 40.0263 | 9.3964 | 0.4 | inf | 1.4462 × 106 | 327.6987 | inf | 4.2662 × 105 | 21.7694 |
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