The backward problem for radially symmetric time-fractional diffusion-wave equation under Robin boundary condition

This paper is devoted to solve the backward problem for radially symmetric time-fractional diffusion-wave equation under Robin boundary condition. This problem is ill-posed and we apply an iterative regularization method to solve it. The error estimates are obtained under the a priori and a posteriori parameter choice rules. Numerical results show that the proposed method is efficient and stable.

Automated summary

This paper focuses on solving the backward problem for the radially symmetric time-fractional diffusion-wave equation under Robin boundary condition. The problem is ill-posed, and an iterative regularization method is applied to solve it. Error estimates are obtained using a priori and a posteriori parameter choice rules. Numerical results demonstrate the efficiency and stability of the proposed method.