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 2 对于不同的α和ε, 例1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 24027 9658 30 C-N 25556 31634 37652 分数阶Landweber BD 19683 6514 21 C-N 21423 23963 29685 ε = 0.005 Landweber BD 46820 21349 34 C-N 27941 30652 39541 分数阶Landweber BD 39870 12981 29 C-N 19685 23916 33921 ε = 0.001 Landweber BD 79686 38679 44 C-N 35719 42387 52802 分数阶Landweber BD 68765 27695 38 C-N 26985 34796 44348