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 3 对于不同的α和ε, 例1的精确解与正则解之间的CPU时间

α α = 0.2 α = 0.5 α = 0.9 CPU时间(unit: s) ε = 0.01 Landweber BD 480.54 193.16 0.60 C-N 511.12 632.68 753.04 分数阶Landweber BD 393.66 130.28 0.42 C-N 428.46 479.26 593.70 ε = 0.005 Landweber BD 936.40 426.98 0.68 C-N 558.82 613.04 790.82 分数阶Landweber BD 797.40 259.62 0.58 C-N 393.70 478.32 678.42 ε = 0.001 Landweber BD 1593.72 773.58 0.88 C-N 714.38 847.74 1056.04 分数阶Landweber BD 1375.30 553.90 0.76 C-N 539.70 695.92 886.96