Identification of the spatial component in the source term of a space-time fractional diffusion equation - Archive ouverte HAL Access content directly
Conference Papers Year : 2022

Identification of the spatial component in the source term of a space-time fractional diffusion equation

Abstract

This paper is concerned with an inverse source problem for a space-time fractional diffusion equation. The aim is to reconstruct the spatial component in the source term from partially observed data. The considered ill-posed inverse source problem is formulated as a minimization one. The existence and the stability of the minimization system are discussed. An iterative process is developed for identifying the unknown source term. The efficiency and the accuracy of the algorithm are shown by several numerical experiments.
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Dates and versions

hal-03752751 , version 1 (17-08-2022)
hal-03752751 , version 2 (05-01-2024)

Identifiers

  • HAL Id : hal-03752751 , version 2

Cite

Mohamed Ben Salah, Maatoug Hassine. Identification of the spatial component in the source term of a space-time fractional diffusion equation. CARI 2022, Oct 2022, Monastir, Tunisia. ⟨hal-03752751v2⟩

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