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 8 对于不同的α和ε, 例3的精确解与正则解之间的迭代次数

α α = 0.2 α = 0.5 α = 0.9 迭代步数(m) ε = 0.01 Landweber BD 47906 21398 29 C-N 4837 8878 19844 分数阶Landweber BD 31695 10321 18 C-N 2968 5367 16482 ε = 0.005 Landweber BD 74840 46709 33 C-N 10244 168704 52632 分数阶Landweber BD 62390 30987 28 C-N 7688 11326 40986 ε = 0.001 Landweber BD 121803 76895 42 C-N 238323 638825 788528 分数阶Landweber BD 98465 54326 37 C-N 196524 419168 568238