3 papers
math.NA2022
Identification of potential in diffusion equations from terminal observation: analysis and discrete approximation
Zhengqi Zhang, Zhidong Zhang, Zhi Zhou
The aim of this paper is to study the recovery of a spatially dependent potential in a (sub)diffusion equation from overposed final time data. We construct a monotone operator one…
math.NA2021
Backward diffusion-wave problem: stability, regularization and approximation
Zhengqi Zhang, Zhi Zhou
We aim at the development and analysis of the numerical schemes for approximately solving the backward diffusion-wave problem, which involves a fractional derivative in time with o…
math.NA2020
Numerical Analysis of Backward Subdiffusion Problems
Zhengqi Zhang, Zhi Zhou
The aim of this paper is to develop and analyze numerical schemes for approximately solving the backward problem of subdiffusion equation involving a fractional derivative in time…