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 1 对于不同的α和ε, 例1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 0.0099 0.0083 0.0075 C-N 0.0072 0.0052 0.0041 分数阶Landweber BD 0.0088 0.0076 0.0061 C-N 0.0063 0.0048 0.0039 ε=0.005 Landweber BD 0.0042 0.0039 0.0034 C-N 0.0041 0.0035 0.0025 分数阶Landweber BD 0.0038 0.0035 0.0021 C-N 0.0031 0.0028 0.0011 ε= 0.001 Landweber BD 0.0025 0.0019 7.9678e-04 C-N 0.0020 0.0011 5.5690e-04 分数阶Landweber BD 0.0018 0.0010 7.1943e-04 C-N 0.0011 8.7631e-04 4.6982e-04