A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives JE Macías-Díaz Journal of Computational Physics 351, 40-58, 2017 | 90 | 2017 |

Semi-implicit Galerkin–Legendre spectral schemes for nonlinear time-space fractional diffusion–reaction equations with smooth and nonsmooth solutions MA Zaky, AS Hendy, JE Macías-Díaz Journal of Scientific Computing 82, 1-27, 2020 | 87 | 2020 |

An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions JE Macías-Díaz Communications in Nonlinear Science and Numerical Simulation 59, 67-87, 2018 | 68 | 2018 |

Numerical study of the process of nonlinear supratransmission in Riesz space-fractional sine-Gordon equations JE Macías-Díaz Communications in Nonlinear Science and Numerical Simulation 46, 89-102, 2017 | 66 | 2017 |

An explicit positivity-preserving finite-difference scheme for the classical Fisher–Kolmogorov–Petrovsky–Piscounov equation JE Macías-Díaz, A Puri Applied Mathematics and computation 218 (9), 5829-5837, 2012 | 56 | 2012 |

Numerical study of the transmission of energy in discrete arrays of sine-Gordon equations in two space dimensions JE Macías-Díaz Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 77 (1 …, 2008 | 56 | 2008 |

A positive and bounded finite element approximation of the generalized Burgers–Huxley equation VJ Ervin, JE Macías-Díaz, J Ruiz-Ramírez Journal of Mathematical Analysis and Applications 424 (2), 1143-1160, 2015 | 55 | 2015 |

An application of nonlinear supratransmission to the propagation of binary signals in weakly damped, mechanical systems of coupled oscillators JE Macías-Díaz, A Puri Physics Letters A 366 (4-5), 447-450, 2007 | 54 | 2007 |

A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives JE Macías-Díaz, AS Hendy, RH De Staelen Computer Physics Communications 224, 98-107, 2018 | 53 | 2018 |

Supratransmission in β-Fermi–Pasta–Ulam chains with different ranges of interactions JE Macías-Díaz, A Bountis Communications in Nonlinear Science and Numerical Simulation 63, 307-321, 2018 | 52 | 2018 |

On the propagation of binary signals in damped mechanical systems of oscillators JE Macías-Díaz, A Puri Physica D: Nonlinear Phenomena 228 (2), 112-121, 2007 | 52 | 2007 |

The numerical solution of a generalized Burgers–Huxley equation through a conditionally bounded and symmetry-preserving method JE Macías-Díaz, J Ruiz-Ramírez, J Villa Computers & Mathematics with Applications 61 (11), 3330-3342, 2011 | 51 | 2011 |

A non-standard symmetry-preserving method to compute bounded solutions of a generalized Newell–Whitehead–Segel equation JE Macías-Díaz, J Ruiz-Ramírez Applied numerical mathematics 61 (4), 630-640, 2011 | 48 | 2011 |

Numerical simulation of the nonlinear dynamics of harmonically driven Riesz-fractional extensions of the Fermi–Pasta–Ulam chains JE Macías-Díaz Communications in Nonlinear Science and Numerical Simulation 55, 248-264, 2018 | 47 | 2018 |

On the transmission of binary bits in discrete Josephson-junction arrays JE Macías-Díaz, A Puri Physics Letters A 372 (30), 5004-5010, 2008 | 44 | 2008 |

A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations JE Macías-Díaz, AS Hendy, RH De Staelen Applied Mathematics and Computation 325, 1-14, 2018 | 43 | 2018 |

Persistence of nonlinear hysteresis in fractional models of Josephson transmission lines JE Macías-Díaz Communications in Nonlinear Science and Numerical Simulation 53, 31-43, 2017 | 42 | 2017 |

Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation M Rafiq, JE Macias-Diaz, A Raza, N Ahmed Applied Mathematical Modelling 89, 1835-1846, 2021 | 41 | 2021 |

A finite-difference scheme to approximate non-negative and bounded solutions of a FitzHugh–Nagumo equation J Ruiz-Ramírez, JE Macías-Díaz International Journal of Computer Mathematics 88 (15), 3186-3201, 2011 | 40 | 2011 |

A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations AS Hendy, JE Macías-Díaz Communications in Nonlinear Science and Numerical Simulation 73, 110-119, 2019 | 39 | 2019 |