Neumann边界条件分数阶扩散波方程的源项辨识

Identification of source term for fractional diffusion-wave equation with Neumann boundary conditions

对Neumann边界条件时间分数阶扩散波方程的源项辨识问题进行研究,构造一种改进的迭代正则化方法,得到源项辨识问题的正则化解,给出先验和后验参数选取规则下源项的正则化解和精确解之间的误差估计。数值算例验证了迭代正则化方法的有效性。

The source term identification of the time-fractional diffusion-wave equation with Neumann boundary conditions is studied.An improved iterative regularization method is constructed to calculate the regularization solution of the source term.The error estimates between the regularization solution and the exact solution are given under the prior and the posterior regularization parameter choice rules.Numerical examples verify the effectiveness of the iterative regularization method.