Showing math.NAShow all
2 papers · 1 filter
math.NA2024
Conditional well-posedness and data-driven method for identifying the dynamic source in a coupled diffusion system from one single boundary measurement
Chunlong Sun, Mengmeng Zhang, Zhidong Zhang
This work considers the inverse dynamic source problem arising from the time-domain fluorescence diffuse optical tomography (FDOT). We recover the dynamic distributions of fluoroph…
math.NA2023
Solving the inverse potential problem in the parabolic equation by the deep neural networks method
Mengmeng Zhang, Zhidong Zhang
In this work, we consider an inverse potential problem in the parabolic equation, where the unknown potential is a space-dependent function and the used measurement is the final ti…