ANTONIO MANUEL
VARGAS UREÑA
Profesor Ayudante Doctor
JUAN J
BENITO MUÑOZ
Profesor Emérito
Publicacions en què col·labora amb JUAN J BENITO MUÑOZ (18)
2024
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On the Comparison of Two Meshless Finite Difference Methods for Solving Shallow Water Equations
Bulletin of the Iranian Mathematical Society, Vol. 50, Núm. 1
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Solving nonlinear Fisher–Kolmogorov–Petrovsky–Piskunov equation using two meshless methods
Computational Particle Mechanics
2023
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Generalized finite difference method applied to solve seismic wave propagation problems. Examples of 3D simulations
Mathematical Methods in the Applied Sciences
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Two finite difference methods for solving the Zakharov–Kuznetsov-Modified Equal-Width equation
Engineering Analysis with Boundary Elements, Vol. 153, pp. 213-225
2022
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A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs
Mathematics, Vol. 10, Núm. 11
2021
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An effective numeric method for different formulations of the elastic wave propagation problem in isotropic medium.
Applied Mathematical Modelling, Vol. 96, pp. 480-496
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Convergence and numerical simulations of prey-predator interactions via a meshless method
Applied Numerical Mathematics, Vol. 161, pp. 333-347
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Convergence and numerical solution of a model for tumor growth
Mathematics, Vol. 9, Núm. 12
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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
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Solving Monge-Ampère equation in 2D and 3D by Generalized Finite Difference Method
Engineering Analysis with Boundary Elements, Vol. 124, pp. 52-63
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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
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Complex ginzburg–landau equation with generalized finite differences
Mathematics, Vol. 8, Núm. 12, pp. 1-13
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Non-linear Fokker-Planck equation solved with generalized finite differences in 2D and 3D
Applied Mathematics and Computation, Vol. 368
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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
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Solving a chemotaxis–haptotaxis system in 2D using Generalized Finite Difference Method
Computers and Mathematics with Applications, Vol. 80, Núm. 5, pp. 762-777
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Solving second order non-linear hyperbolic PDEs using generalized finite difference method (GFDM)
Journal of Computational and Applied Mathematics, Vol. 363, pp. 1-21
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Solving the telegraph equation in 2-D and 3-D using generalized finite difference method (GFDM)
Engineering Analysis with Boundary Elements, Vol. 112, pp. 13-24
2019
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Solving second order non-linear parabolic PDEs using generalized finite difference method (GFDM)
Journal of Computational and Applied Mathematics, Vol. 354, pp. 221-241