Browsing by Author "Abdeldjalil , Chattouh"

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    SIMULTANEOUS RECONSTRUCTION OF DUAL TIME-DEPENDENT COEFFICIENTS IN COUPLED TIME-FRACTIONAL DIFFUSION SYSTEMS
    (2026) Abdeldjalil , Chattouh
    This dissertation is devoted to the study of an inverse source problem for a coupled system of time-fractional parabolic equations. The main objective is to simultaneously identify two unknown time-dependent source terms from additional measurement data. The work is organized into two parts. First, the associated direct problem is investigated, anda numerical approximation is developed using a Legendre–Galerkin spectral method. This discretization provides accurate approximations of the state variables and serves as the basis for the inverse analysis. The second part focuses on the inverse problem. A non-iterative numerical reconstruction procedure is proposed for recovering the unknown sources from integral measurement data. The method is based on explicit identification formulas for the source terms, combined with the numerical approximation of the direct problem.