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 4 对于不同的α和ε, 例2的精确解与正则解之间的相对均方根误差

α α = 0.2 α = 0.5 α = 0.9 η(f) ε = 0.01 Landweber BD 0.0243 0.0128 0.0088 C-N 0.1039 0.0864 0.0747 分数阶Landweber BD 0.0208 0.0106 0.0075 C-N 0.0931 0.0705 0.0628 ε = 0.005 Landweber BD 0.0155 0.0116 0.0076 C-N 0.0838 0.0725 0.0634 分数阶Landweber BD 0.0191 0.0103 0.0063 C-N 0.0786 0.0596 0.0413 ε = 0.001 Landweber BD 0.0033 0.0019 8.6476e-04 C-N 0.0589 0.0362 0.0295 分数阶Landweber BD 0.0021 0.0011 6.5483e-04 C-N 0.0412 0.0268 0.0105