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 5 对于不同的α和ε, 例2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 22348 6987 29 C-N 3717 5816 7425 分数阶Landweber BD 16534 3768 19 C-N 2674 4168 6123 ε = 0.005 Landweber BD 34258 12368 33 C-N 6670 8126 11198 分数阶Landweber BD 22369 6879 26 C-N 4396 6021 8934 ε = 0.001 Landweber BD 79463 39654 41 C-N 15285 86956 131965 分数阶Landweber BD 54986 21685 33 C-N 13210 69663 113824