Work

Inverse Source Reconstruction with L1 Fractional Method

Year: 2026

Type: article

Abstract: This paper studies an inverse source identification problem for a diffusion model with a time-fractional derivative under Dirichlet boundary conditions. We establish the differentiability of the unknown source and prove the injectivity of the associated input–output mapping, thereby guaranteeing the uniqueness of the reconstruction. A numerical procedure based on an L1 finite-difference approximation is developed to stably compute the source term. Several numerical experiments demonstrate the accuracy and robustness of the proposed approach. computational efficiency are also discussed.

Source: Gulf Journal of Mathematics

DOI: 10.56947/56zx1a71

Authors: Settara Loubna, Mehri Allaoua, Atmania Rahima

Institutions: University of Skikda, Chadli Bendjedid El Tarf University, Badji Mokhtar-Annaba University

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7201864972

FWCI: 1.757

Cites: 10

Cited by: 1

Related to: 10