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Examinando Artículos y papers por Palabra clave "12 Matemáticas::1206 Análisis numérico"

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    Publicación
    Numerical solution of a hydrodynamic model with cavitation using finite difference method at arbitrary meshes
    (ScienceDirect, 2024-07-25) García Hernández, Miguel Ángel; Negreanu, Mihaela; Ureña, Francisco; Vargas Ureña, Antonio Manuel; https://orcid.org/0000-0003-0533-3464 View this author’s ORCID profile
    In this paper, we investigate the implementation of the finite difference method on arbitrary meshes in conjunction with a fixed-point algorithm for the lubrication problem of a journal bearing with cavitation, considering the Elrod-Adams model. We establish numerical properties of the generalized finite difference scheme and provide several illustrative examples.
  • Miniatura
    Publicación
    Numerical solution to a Parabolic-ODE Solow model with spatial diffusion and technology-induced motility
    (ScienceDirect, 2024-04-08) Ureña, N.; Vargas Ureña, Antonio Manuel
    This work studies a parabolic-ODE PDE’s system which describes the evolution of the physical capital “k” and technological progress “A”, using a meshless method in one and two dimensional bounded domain with regular boundary. The well-known Solow model is extended by considering the spatial diffusion of both capital and technology. Moreover, we study the case in which no spatial diffusion of the technology progress occurs. For such models, we propound schemes based on the Generalized Finite Difference method and prove the convergence of the numerical solution to the continuous one. Several examples show the dynamics of the model for a wide range of parameters. These examples illustrate the accuary of the numerical method.
  • Miniatura
    Publicación
    On the numerical solution to a Solow model with spatial diffusion and technology-induced capital mobility
    (ScienceDirect, 2023-10-12) Ureña, N.; Vargas Ureña, Antonio Manuel
    This work studies a parabolic-parabolic PDE system that describes the evolution of physical capital (denoted by ”k”) and technological progress (denoted by ”A”). The study employs a meshless method in one and two- dimensional bounded domains with regular boundaries. The well-known Solow model is extended to consider the spatial diffusion of both capital and technology. Additionally, we study the case in which induced movement of capital towards regions with a large technological progress occurs. For such models, we propose schemes based on the Generalized Finite Difference method and prove the convergence of the numerical solution to the continuous one, which is the main objective of the study. Several examples show the dynamics of the model for a wide range of parameters, illustrating the accuracy of the numerical method.