Jorge E. Macías‐Díaz

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

Jorge E. Macías‐Díaz · Journal of Computational Physics · 2017 · 92 citations

Numerical Analysis, Fractional-order System, Nonlinear Wave Propagation +5

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

Mahmoud A. Zaky, Ahmed S. Hendy, Jorge E. Macías‐Díaz · Journal of Scientific Computing · 2020 · 86 citations

Numerical Analysis, Fractional-order System, Nonsmooth Solutions +4

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

Jorge E. Macías‐Díaz · Communications in Nonlinear Science and Numerical Simulation · 2017 · 65 citations

Numerical Analysis, Fractional-order System, Nonlinear Wave Propagation +5

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

Jorge E. Macías‐Díaz · Communications in Nonlinear Science and Numerical Simulation · 2016 · 63 citations

Numerical Analysis, Numerical Study, Singularly Perturbed Problem +5

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

Vincent J. Ervin, Jorge E. Macías‐Díaz, Javier Ruiz-Ramírez · Journal of Mathematical Analysis and Applications · 2014 · 57 citations

Numerical Analysis, Engineering, Generalized Burgers–huxley Equation +6