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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.

Papers
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A numerical method with properties of consistency in the energy domain for a class of dissipative nonlinear wave equations with applications to a dirichlet boundary-value problem

TL;DR: In this article, a conditionally stable finite-difference scheme that consistently approximates the solution of a general class of (3+1)-dimensional nonlinear equations was presented, which generalizes in various ways the quantitative model governing discrete arrays consisting of coupled harmonic oscillators.
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Diffusive instabilities in a hyperbolic activator-inhibitor system with superdiffusion.

TL;DR: It is concluded that both anomalous diffusion and inertial time influence strongly the conditions for wave instabilities in hyperbolic fractional reaction-diffusion systems.
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Numerical modeling and theoretical analysis of a nonlinear advection-reaction epidemic system

TL;DR: A positivity-preserving nonstandard implicit finite-difference scheme to solve an advection-reaction nonlinear epidemic model and is capable of guaranteeing the positivity of the approximations.
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Analysis of a nonstandard computer method to simulate a nonlinear stochastic epidemiological model of coronavirus-like diseases

TL;DR: In this paper, a non-standard computational model is proposed to approximate the solutions of a stochastic system describing the propagation of an infectious disease, where the existence of various sub-populations, including humans who are susceptible to the disease, asymptomatic humans, infected humans and recovered or quarantined individuals, is considered.
Journal ArticleDOI

A numerical method with properties of consistency in the energy domain for a class of dissipative nonlinear wave equations with applications to a Dirichlet boundary-value problem

TL;DR: In this article, a conditionally stable finite-difference scheme that consistently approximates the solution of a general class of (3+1)-dimensional nonlinear equations was presented, which generalizes in various ways the quantitative model governing discrete arrays consisting of coupled harmonic oscillators.