Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
February 21, 2026Journal of Inverse and Ill-Posed Problems

Numerical reconstructions of a source term in a mobile-immobile diffusion model from the partial interior observation

View Full Paper
Ask AI
Bookmark
Share

Authors

ZYZhiwei YangYLYikan Liu

Discussion

Loading...

Member takes

Overview

Inverse source problem addresses source term reconstruction in a mobile-immobile diffusion model, suggesting effective numerical methods.

Key Points

  • The study aims to solve an inverse source problem in a mobile-immobile fractional diffusion model using partial observations.
  • Utilized fractional Duhamel’s principle for theoretical analysis.
  • Applied weak vanishing property to establish uniqueness of the inverse problem.
  • Employed an optimal control approach for source term determination.
  • Derived a forward-backward system of equations through first-order optimality conditions.
  • Constructed a finite element conjugate gradient algorithm for numerical inversion.
  • Established uniqueness of the inverse source problem theoretically.
  • Developed an effective algorithm for numerical reconstruction of the source term.
  • Demonstrated the method's utility through several experimentations.

Cite This Study

Yang et al. (2026) studied this question.

synapsesocial.com/papers/69994c9f873532290d0213a9https://doi.org/10.1515/jiip-2025-0036
View Full Paper
Ask AI
Bookmark
Share