识别Rayleigh-Stokes方程源项的分数阶Landweber迭代正则化方法

杨帆,王乾朝,李晓晓

Fractional Landweber Iterative Regularization Method to Identify Source Term for the Rayleigh-Stokes Equation

Fan Yang,Qianchao Wang,Xiaoxiao Li

表 9 对于不同的α和ε, 例3的精确解与正则解之间的CPU时间

α α = 0.2 α = 0.5 α = 0.9 CPU时间(unit: s) ε = 0.01 Landweber BD 958.12 427.96 0.58 C-N 96.74 177.56 396.88 分数阶Landweber BD 639.30 206.42 0.36 C-N 59.36 107.34 329.64 ε = 0.005 Landweber BD 1496.80 934.18 0.66 C-N 204.88 3374.08 1052.64 分数阶Landweber BD 1247.80 619.74 0.56 C-N 153.76 226.52 819.72 ε = 0.001 Landweber BD 2436.06 1537.90 0.84 C-N 4766.46 12776.50 15770.56 分数阶Landweber BD 1969.30 1086.52 0.74 C-N 3930.48 8383.36 11364.76