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 7 对于不同的α和ε, 例3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 0.0287 0.0196 0.0100 C-N 0.1867 0.2375 0.2735 分数阶Landweber BD 0.0234 0.0165 0.0008 C-N 0.1529 0.2143 0.2568 ε = 0.005 Landweber BD 0.0176 0.0102 0.0050 C-N 0.1679 0.2139 0.2228 分数阶Landweber BD 0.0153 0.0088 0.0016 C-N 0.1428 0.1796 0.1928 ε = 0.001 Landweber BD 0.0068 0.0036 0.0010 C-N 0.0924 0.1428 0.1522 分数阶Landweber BD 0.0053 0.0018 2.5638e-04 C-N 0.0723 0.1256 0.1347