2 papers
math.NA2025
An alternating approach for reconstructing the initial value and source term in a time-fractional diffusion-wave equation
Yun Zhang, Xiaoli Feng, Xiongbin Yan
This paper is dedicated to addressing the simultaneous inversion problem involving the initial value and space-dependent source term in a time-fractional diffusion-wave equation. F…
math.NA2022
Bayesian Inversion with Neural Operator (BINO) for Modeling Subdiffusion: Forward and Inverse Problems
Xiong-bin Yan, Zhi-Qin John Xu, Zheng Ma
Fractional diffusion equations have been an effective tool for modeling anomalous diffusion in complicated systems. However, traditional numerical methods require expensive computa…