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.
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Semi-implicit Galerkin–Legendre Spectral Schemes for Nonlinear Time-Space Fractional Diffusion–Reaction Equations with Smooth and Nonsmooth Solutions
TL;DR: The governing partial differential equation generalizes the Hodgkin–Huxley, the Allen–Cahn and the Fisher–Kolmogorov–Petrovskii–Piscounov equations, and guarantees the unconditional stability.
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A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives
TL;DR: It is shown here that the undamped regime has an associated positive energy functional, and it is preserved throughout time under suitable boundary conditions, and the numerical method is capable of conserving the discrete energy under the same boundary conditions for which the continuous model is conservative.
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An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions
TL;DR: This work establishes that the discrete energy is conserved in the undamped regime, and that it dissipates in the damped scenario, and proposes an explicit finite-difference discretization of the authors' fractional model based on the use of fractional centered differences.
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Numerical study of the process of nonlinear supratransmission in Riesz space-fractional sine-Gordon equations
TL;DR: Numerical evidence on the presence of the phenomenon of nonlinear supratransmission in sine-Gordon systems of Riesz space-fractional order is found.
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A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives
TL;DR: A general nonlinear wave equation with Riesz space-fractional derivatives that generalizes various classical hyperbolic models, including the sine-Gordon and the Klein–Gordon equations from relativistic quantum mechanics is investigated.