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math.NA2026
Identifying the source term in a viscoelastic membrane with a Riemann-Liouville time derivative by the partial interior observation
Zhiwei Yang, Yikan Liu
This paper studies an inverse source problem for a viscoelastic membrane, where the material's memory effect is characterized by the Riemann-Liouville fractional derivative. The pr…
math.NA2025
Numerical reconstructions of a source term in a mobile-immobile diffusion model from the partial interior observation
Zhiwei Yang, Yikan Liu
We consider an inverse source problem in the two-time-scale mobile-immobile fractional diffusion model from partial interior observation. Theoretically, we combine the fractional D…
math.NA2023
Fractional weak adversarial networks for the stationary fractional advection dispersion equations
Dian Feng, Zhiwei Yang, Sen Zou
In this article, we propose the fractional weak adversarial networks (f-WANs) for the stationary fractional advection dispersion equations (FADE) based on their weak formulas. This…