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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A finite-difference discretization preserving the structure of solutions of a diffusive model of type-1 human immunodeficiency virus
TL;DR: In this paper, the authors investigate a model of spatio-temporal spreading of human immunodeficiency virus HIV-1 and propose a positive and bounded discrete model to estimate the solutions of the continuous system.
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A bounded numerical solver for a fractional FitzHugh–Nagumo equation and its high-performance implementation
TL;DR: This implementation is based on a positivity- and boundedness-preserving finite-difference model to approximate the solutions of a Riesz space-fractional reaction-diffusion equation and proves the existence and uniqueness of numerical solutions, positivity, boundedness and consistency of the model.
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On the generation of localized nonlinear modes in a linear array of anharmonic oscillators
TL;DR: In this article, the authors show that an adequate modulation of the driving amplitude in an anharmonic chain results in an efficient transmission of binary information, and the nonlinear processes of supratransmission and infratransmission are shown to be useful in the solution of the problem under investigation.
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A nonlinear discrete model for approximating a conservative multi-fractional Zakharov system: Analysis and computational simulations
TL;DR: In this paper , a system of two partial differential equations with fractional diffusion is considered, and suitable initial-boundary conditions are imposed on an open and bounded domain of the real numbers.
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Fractional generalization of the fermi–Pasta–Ulam–Tsingou media and theoretical analysis of an explicit variational scheme
TL;DR: It is proved analytically that the finite-difference method proposed is capable of conserving or dissipating the discrete energy under the same conditions that guarantee the conservation or dissipation of energy of the continuous model.