J
Jorge Eduardo Macías-Díaz
Researcher at Autonomous University of Aguascalientes
Publications - 226
Citations - 2272
Jorge Eduardo Macías-Díaz is an academic researcher from Autonomous University of Aguascalientes. The author has contributed to research in topics: Nonlinear system & Bounded function. The author has an hindex of 26, co-authored 192 publications receiving 1692 citations. Previous affiliations of Jorge Eduardo Macías-Díaz include University of New Orleans & Tallinn University.
Papers
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Sufficient conditions for the preservation of the boundedness in a numerical method for a physical model with transport memory and nonlinear damping
TL;DR: Departing from a finite-difference scheme to approximate solutions of a nonlinear, hyperbolic partial differential equation which generalizes the Burgers–Huxley equation from fluid dynamics, conditions on the model coefficients and the computational parameters under which positive and bounded initial data evolve intopositive and bounded new approximations are investigated.
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Existence and uniqueness of monotone and bounded solutions for a finite-difference discretization à la Mickens of the generalized Burgers–Huxley equation
TL;DR: In this paper, a Mickens-type, nonlinear, finite-difference discretization of the Burgers-Huxley partial differential equation is proposed, which preserves many of the relevant characteristics of these solutions, such as the positivity, the boundedness and the spatial and the temporal monotonicity.
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Analysis and Nonstandard Numerical Design of a Discrete Three-Dimensional Hepatitis B Epidemic Model
TL;DR: In this article, an efficient structure-preserving nonstandard finite-difference time-splitting method is proposed to approximate the solutions of the hepatitis B model, and the dynamical consistency of the splitting method is verified mathematically and graphically.
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A differential quadrature-based approach a la Picard for systems of partial differential equations associated with fuzzy differential equations
TL;DR: The method proposed in this work is a non-recursive technique that combines differential quadrature rules and a Picard-like scheme in order to obtain general solutions of systems of partial differential equations derived from a general fuzzy partial differential model.
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A convergent and dynamically consistent finite-difference method to approximate the positive and bounded solutions of the classical Burgers-Fisher equation
TL;DR: This work proposes an exact finite-difference discretization of the Burgers-Fisher model of interest and shows that, as the continuous counterpart, the method proposed is capable of preserving the positivity and the boundedness of the numerical approximations as well as the temporal and spatial monotonicity of the discrete initial-boundary conditions.