13 citations · 63 across the 11 of their papers we have counts for
11 papers
Regularization operators for identifying the unknown source in the time-fractional convection-diffusion-reaction equation
Guillermo Federico Umbricht, Diana Rubio
This article presents a mathematical study of the problem of identifying a time-dependent source term in transport processes described by a timefractional parabolic equation, based…
Theoretical analysis of a two-dimensional bilayer convection-diffusion-reaction-source problem
Guillermo Federico Umbricht, Diana Rubio, Domingo Alberto Tarzia
This work investigates the two-dimensional thermal behavior of a bilayer medium subject to both internal and external heat sources. The model incorporates diffusion, advection, and…
Analytical and Numerical Study of a Convection-Diffusion-Reaction-Source Problem in Multilayered Materials
Guillermo Federico Umbricht, Domingo Alberto Tarzia, Diana Rubio
In this work, a thermal energy transfer problem in a one-dimensional multilayer body is theoretically analyzed, considering diffusion, advection, internal heat generation or loss l…
Bilayer one-dimensional Convection-Diffusion-Reaction-Source problem. Analytical and numerical solution
Guillermo Federico Umbricht, Diana Rubio, Domingo Alberto Tarzia
This article presents a theoretical analysis of a one-dimensional heat transfer problem in two layers involving diffusion, advection, internal heat generation or loss linearly depe…
Regularization Techniques for Estimating the Source in a Complete Parabolic Equation in
Guillermo Federico Umbricht, Diana Rubio
In this article, the problem of identifying the source term in transport processes given by a complete parabolic equation is studied mathematically from noisy measurements taken at…
Optimal Estimation of Thermal Diffusivity in an Energy Transfer Problem
Guillermo Federico Umbricht, Diana Rubio
This work focuses on determining the coefficient of thermal diffusivity in a one-dimensional heat transfer process along a homogeneous and isotropic bar, embedded in a moving fluid…