JOURNALS

Documents published in Scipedia

• Boletín de la Sociedad Mexicana de Computación Científica y sus Aplicaciones (2021)

  G. Tinoco Guerrero, J. Guzmán Torres, J. Alavez, J. Tinoco-Ruiz

  Gerardo Tinoco-Guerrero's personal collection (2022). 1

  
  

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• Numerical solution of diffusion equation using a method of lines and generalized finite differences

  G. Tinoco Guerrero, F. Domínguez Mota, J. Guzmán Torres, J. Tinoco-Ruiz

  Rev. int. métodos numér. cálc. diseño ing. (2022). Vol. 38, (2), 24

  
  

  Abstract

  One of the greatest challenges in the area of applied mathematics continues to be the design of numerical methods capable of approximating the solution of partial differential equations quickly and accurately. One of the most important equations, due to the hydraulic and transport applications it has, and the large number of difficulties that it usually presents when solving it numerically is the Diffusion Equation.   In the present work, a Method of Lines applied to the numerical solution of the said equation in irregular regions is presented using a scheme of Generalized Finite Differences. The second-order finite difference method uses a central node and 8 neighbor points in order to address the spatial approximation. A series of tests and numerical results are presented, which show the accuracy of the proposed method.

  Abstract
  One of the greatest challenges in the area of applied mathematics continues to be the design of numerical methods capable of approximating the solution of partial differential [...]

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• A numerical approximation for build the stress/strain diagram with just the maximum load obtained

  J. Guzmán Torres, F. Domínguez Mota, G. Tinoco Guerrero

  SMCCA (2020). 2

  
  

  Abstract

  One of the fundamental features in the design of rigid pavements is the rupture modulus, which value is obtained experimentally using a bending test and indicates the maximum load that a concrete beam can support. To determine this value is expensive and impractical since the tests require rather large stress values, there is always a risk of producing brittle fractures in the probes used. For this reason, it is proposed in this paper an implementation of a numerical estimation for the deformations due to the maximum load through a simple interpolation model that allows the generation of the stress/strain diagram using the only data available: the maximum load. The results show that it is possible to calculate the maximum deformation value in the beam previous to the failure. Also, it is possible to generate the stress/strain diagram and distinguish the elastic and elastoplastic areas of the concrete.

  Abstract
  One of the fundamental features in the design of rigid pavements is the rupture modulus, which value is obtained experimentally using a bending test and indicates the maximum [...]

  • 75
  •  read