30 citations
- Consejo Nacional de Investigaciones Científicas y TécnicasAR24 papers
- National University of RosarioAR7 papers
- National University of General San MartínAR6 papers
- Centro Científico Tecnológico - San JuanAR5 papers
- Centro Científico Tecnológico - TucumánAR3 papers
- Universidad Nacional de Río CuartoAR3 papers
- Universitat de ValènciaES3 papers
- Université de PerpignanFR3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Centro Científico Tecnólogico - RosarioAR2 papers
- Institut Camille JordanFR2 papers
- Laboratoire de Mathématiques Blaise PascalFR2 papers
50 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…
Explicit Discrete Solution for Some Optimization Problems and Estimations with Respect to the Exact Solution
Julieta Bollati, Mariela C. Olguin, Domingo A. Tarzia
We consider two steady-state heat conduction systems called, and , in a multidimensional bounded domain for the Poisson equation with source energy . In one system,…
Moving boundary problems for a novel extended mKdV equation. Application of Ermakov-Painlevé II symmetry reduction
Colin Rogers, Adriana C. Briozzo
A novel extension of the canonical solitonic mKdV equation is introduced which admits hybrid Ermakov-Painlevé II symmetry reduction. Application of the latter is made to obtain exa…
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…
Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications
Colin Rogers, Adriana C. Briozzo
Moving boundary problems of Stefan-type for a novel third order nonlinear evolution equation with temporal modulation are here shown to be amenable to exact Airy-type solution via…
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…