Publications by the researcher in collaboration with ANTONIO MANUEL VARGAS UREÑA (22)

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, Vol. 11, Núm. 6, pp. 2373-2379

2023

  1. A spatio-temporal fully meshless method for hyperbolic PDEs

    Journal of Computational and Applied Mathematics, Vol. 430

  2. Application of Finite Element Method to Create a Digital Elevation Model

    Mathematics, Vol. 11, Núm. 6

  3. Generalized finite difference method applied to solve seismic wave propagation problems. Examples of 3D simulations

    Mathematical Methods in the Applied Sciences

  4. 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

  2. Numerical Solutions to Wave Propagation and Heat Transfer Non-Linear PDEs by Using a Meshless Method

    Mathematics, Vol. 10, Núm. 3

2021

  1. An effective numeric method for different formulations of the elastic wave propagation problem in isotropic medium.

    Applied Mathematical Modelling, Vol. 96, pp. 480-496

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

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

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

    Mathematics, Vol. 9, Núm. 12

  4. 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

  5. Solving Eikonal equation in 2D and 3D by generalized finite difference method

    Computational and Mathematical Methods

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

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

  7. 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. Non-linear Fokker-Planck equation solved with generalized finite differences in 2D and 3D

    Applied Mathematics and Computation, Vol. 368

  3. 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

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

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

  5. Solving second order non-linear hyperbolic PDEs using generalized finite difference method (GFDM)

    Journal of Computational and Applied Mathematics, Vol. 363, pp. 1-21