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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.

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Design and numerical analysis of a logarithmic scheme for nonlinear fractional diffusion–reaction equations

TL;DR: This work considers a parabolic partial differential equation with fractional diffusion that generalizes the well-known Fisher’s and Hodgkin–Huxley equations and establishes rigorously the capability of the technique to preserve the positivity and the boundedness of the methodology.
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Computational approximation of the likelihood ratio for testing the existence of change-points in a heteroscedastic series

TL;DR: In this paper, the authors presented a method to approximate the occurrence of the change-points in a temporal series consisting of independent and normally distributed observations, with equal mean and two possible variance values.
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A Mass- and Energy-Conserving Numerical Model for a Fractional Gross–Pitaevskii System in Multiple Dimensions

TL;DR: In this paper, a finite-difference discretization of the double fractional extended p-dimensional coupled Gross-Pitaevskii-type system is proposed, which inherits the energy and mass conservation properties.
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An efficient nonstandard computer method to solve a compartmental epidemiological model for COVID-19 with vaccination and population migration

TL;DR: In this article , a nonstandard finite-difference method is proposed to solve the problem of the dynamics of propagation of an infectious disease in a human population, where the authors consider the presence of susceptible, exposed, asymptomatic and symptomatic infected, quarantined, recovered and vaccinated individuals.
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On the bifurcation of energy in media governed by (2 + 1)-dimensional modified Klein-Gordon equations

TL;DR: The results show that the transmission of energy in the system starts at a well-defined nonnegative lower threshold, after which the creation of localized intrinsic modes that move away from the driving boundaries is imminent, making it an ideal method in the analysis of the process of supratransmission.