6 papers
Inverse Source Problem for a Time-Fractional Diffusion-Wave Equation with a Singular Inverse-Square Potential
Zewen Wang, Bin Wu, Yikan Liu +2
This paper investigates an inverse source problem for a time-fractional diffusion-wave equation with a singular inverse-square potential. The source term is assumed to consist of a…
Inverse -source problem and a strict positivity property for coupled subdiffusion systems
Mohamed BenSalah, Yikan Liu
This article is concerned with the inverse problem on determining the temporal component of the source term in a coupled time-fractional diffusion system by a single point observat…
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…
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…
Numerical schemes for reconstructing profiles of moving sources in (time-fractional) evolution equations
Yikan Liu
This article is concerned with the derivation of numerical reconstruction schemes for the inverse moving source problem on determining source profiles in (time-fractional) evolutio…
Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation
Daijun Jiang, Yikan Liu, Dongling Wang
In this article, we are concerned with the analysis on the numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation. This ill-po…