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Mostrando ítems 1-4 de 4

A study about the solution of convection-diffusion-reaction equation with Danckwerts boundary conditions by analytical, method of lines and Crank-Nicholson techniques

Agud Albesa, Lucia; Boix García, Macarena; Pla-Ferrando, L; Cardona, S. C. (John Wiley & Sons, 2023-01-30)

[EN] We compare different solutions of the convection-diffusion-reaction problem with Danckwerts boundary conditions. Analytical solution is found, and method of lines and Crank-Nicholson method are described, applied, ...
Fractional Beer-Lambert law in laser heating of biological tissue

Lizama, Carlos; Murillo Arcila, Marina; Trujillo Guillen, Macarena (American Institute of Mathematical Sciences, 2022-06-06)

[EN] In this article we propose an alternative formulation to model a thermal-optical coupled problem involving laser heating. We show that by using the Fractional Beer-Lambert Law (FBLL) instead of the Beer-Lambert Law ...
Solving Allen-Cahn equations with periodic and nonperiodic boundary conditions using mimetic finite-difference operators

Orizaga, Saulo; González Parra, Gilberto Carlos; Forman, Logan; Villegas-Villanueva, Jesús (Elsevier, 2025-01-01)

[EN] In this paper, we investigate and implement a numerical method that is based on the mimetic finite difference operator in order to solve the nonlinear Allen-Cahn equation with periodic and non-periodic boundary ...
The time fractional approach for the modeling of thermal therapies: Temperature analysis in laser irradiation

Lizama, C.; Trujillo Guillen, Macarena (Elsevier, 2020-06)

[EN] In this study we assessed the use of the fractional derivative formulation of the heat transmission equation (FDHTE) as an alternative to the classical or parabolic heat transfer equation (PHTE) in the mathematical ...

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Listar por palabra clave "Heat equation"

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