识别Rayleigh-Stokes方程源项的分数阶Landweber迭代正则化方法
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杨帆,王乾朝,李晓晓
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Fractional Landweber Iterative Regularization Method to Identify Source Term for the Rayleigh-Stokes Equation
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Fan Yang,Qianchao Wang,Xiaoxiao Li
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表 6 对于不同的α和ε, 例2的精确解与正则解之间的CPU时间
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| α | | | | α = 0.2 | α = 0.5 | α = 0.9 | | CPU时间(unit: s) | ε = 0.01 | Landweber | BD | 446.96 | 139.74 | 0.58 | | C-N | 74.34 | 116.32 | 148.50 | | 分数阶Landweber | BD | 330.68 | 75.36 | 0.38 | | C-N | 53.48 | 83.36 | 122.46 | | | ε = 0.005 | Landweber | BD | 685.16 | 247.36 | 0.66 | | C-N | 133.4 | 162.52 | 223.96 | | 分数阶Landweber | BD | 447.38 | 137.58 | 0.52 | | C-N | 87.92 | 120.42 | 178.68 | | | ε = 0.001 | Landweber | BD | 1589.26 | 793.08 | 0.82 | | C-N | 305.70 | 1739.12 | 2639.3 | | 分数阶Landweber | BD | 1099.72 | 433.70 | 0.66 | | C-N | 264.20 | 1393.26 | 2276.48 |
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