Publications by the researcher in collaboration with Juan José Benito (12)

2024

  1. On the Comparison of Two Meshless Finite Difference Methods for Solving Shallow Water Equations

    Bulletin of the Iranian Mathematical Society, Vol. 50, Núm. 1

  2. Solving nonlinear Fisher–Kolmogorov–Petrovsky–Piskunov equation using two meshless methods

    Computational Particle Mechanics

2023

  1. Two finite difference methods for solving the Zakharov–Kuznetsov-Modified Equal-Width equation

    Engineering Analysis with Boundary Elements, Vol. 153, pp. 213-225

2022

  1. A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs

    Mathematics, Vol. 10, Núm. 11

2021

  1. Convergence and numerical simulations of prey-predator interactions via a meshless method

    Applied Numerical Mathematics, Vol. 161, pp. 333-347

  2. Convergence and numerical solution of a model for tumor growth

    Mathematics, Vol. 9, Núm. 12

  3. On the convergence of the generalized finite difference method for solving a chemotaxis system with no chemical diffusion

    Computational Particle Mechanics, Vol. 8, Núm. 3, pp. 625-636

  4. Solving Monge-Ampère equation in 2D and 3D by Generalized Finite Difference Method

    Engineering Analysis with Boundary Elements, Vol. 124, pp. 52-63

  5. Solving a reaction–diffusion system with chemotaxis and non-local terms using Generalized Finite Difference Method. Study of the convergence

    Journal of Computational and Applied Mathematics, Vol. 389

2020

  1. Complex ginzburg–landau equation with generalized finite differences

    Mathematics, Vol. 8, Núm. 12, pp. 1-13

  2. On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using Generalized Finite Differences

    Engineering Analysis with Boundary Elements, Vol. 113, pp. 181-190

  3. Solving a chemotaxis–haptotaxis system in 2D using Generalized Finite Difference Method

    Computers and Mathematics with Applications, Vol. 80, Núm. 5, pp. 762-777