Jorge E. Macías‐Díaz

Research interests

Publications

• Advanced fractional calculus, differential equations and neural networks: analysis, modeling and numerical computations

  Physica Scripta · 2023 · 10.1088/1402-4896/acfe73

• Some H-Godunova–Levin Function Inequalities Using Center Radius (Cr) Order Relation

  Fractal and Fractional · 2022 · 10.3390/fractalfract6090518

• Hermite-Hadamard Inequalities in Fractional Calculus for Left and Right Harmonically Convex Functions via Interval-Valued Settings

  Fractal and Fractional · 2022 · 10.3390/fractalfract6040178

• Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation

  Applied Mathematical Modelling · 2020 · 10.1016/j.apm.2020.08.082

• Semi-implicit Galerkin–Legendre Spectral Schemes for Nonlinear Time-Space Fractional Diffusion–Reaction Equations with Smooth and Nonsmooth Solutions

  Journal of Scientific Computing · 2020 · 10.1007/s10915-019-01117-8

• A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations

  Communications in Nonlinear Science and Numerical Simulation · 2019 · 10.1016/j.cnsns.2019.02.005

• A numerically efficient and conservative model for a Riesz space-fractional Klein–Gordon–Zakharov system

  Communications in Nonlinear Science and Numerical Simulation · 2018 · 10.1016/j.cnsns.2018.10.025

• Supratransmission in β-Fermi–Pasta–Ulam chains with different ranges of interactions

  Communications in Nonlinear Science and Numerical Simulation · 2018 · 10.1016/j.cnsns.2018.04.007

• A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations

  Applied Mathematics and Computation · 2018 · 10.1016/j.amc.2017.12.002

• An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions

  Communications in Nonlinear Science and Numerical Simulation · 2017 · 10.1016/j.cnsns.2017.10.019

• A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives

  Computer Physics Communications · 2017 · 10.1016/j.cpc.2017.11.008

• A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives

  Journal of Computational Physics · 2017 · 10.1016/j.jcp.2017.09.028

• Numerical simulation of the nonlinear dynamics of harmonically driven Riesz-fractional extensions of the Fermi–Pasta–Ulam chains

  Communications in Nonlinear Science and Numerical Simulation · 2017 · 10.1016/j.cnsns.2017.07.012

• Numerical study of the process of nonlinear supratransmission in Riesz space-fractional sine-Gordon equations

  Communications in Nonlinear Science and Numerical Simulation · 2016 · 10.1016/j.cnsns.2016.11.002

• A positive and bounded finite element approximation of the generalized Burgers–Huxley equation

  Journal of Mathematical Analysis and Applications · 2014 · 10.1016/j.jmaa.2014.11.047

• A finite-difference scheme to approximate non-negative and bounded solutions of a FitzHugh–Nagumo equation

  International Journal of Computer Mathematics · 2011 · 10.1080/00207160.2011.579964

• The numerical solution of a generalized Burgers–Huxley equation through a conditionally bounded and symmetry-preserving method

  Computers & Mathematics with Applications · 2011 · 10.1016/j.camwa.2011.04.022

• An explicit positivity-preserving finite-difference scheme for the classical Fisher–Kolmogorov–Petrovsky–Piscounov equation

  Applied Mathematics and Computation · 2011 · 10.1016/j.amc.2011.11.064

• A non-standard symmetry-preserving method to compute bounded solutions of a generalized Newell–Whitehead–Segel equation

  Applied Numerical Mathematics · 2010 · 10.1016/j.apnum.2010.12.008

• On the transmission of binary bits in discrete Josephson-junction arrays

  Physics Letters A · 2008 · 10.1016/j.physleta.2008.05.049

• Numerical study of the transmission of energy in discrete arrays of sine-Gordon equations in two space dimensions

  Physical Review E · 2008 · 10.1103/physreve.77.016602

• An application of nonlinear supratransmission to the propagation of binary signals in weakly damped, mechanical systems of coupled oscillators

  Physics Letters A · 2007 · 10.1016/j.physleta.2007.03.076

• On the propagation of binary signals in damped mechanical systems of oscillators

  Physica D Nonlinear Phenomena · 2007 · 10.1016/j.physd.2007.02.007

Current projects

No projects listed.