Solving second order non-linear parabolic PDEs using generalized finite difference method (GFDM) F Ureña, L Gavete, A Garcia, JJ Benito, AM Vargas Journal of Computational and Applied Mathematics 354, 221-241, 2019 | 52 | 2019 |
Finite difference method for solving fractional differential equations at irregular meshes AM Vargas Mathematics and Computers in Simulation 193, 204-216, 2022 | 48 | 2022 |
Solving the telegraph equation in 2-D and 3-D using generalized finite difference method (GFDM) F Ureña, L Gavete, JJ Benito, A García, AM Vargas Engineering Analysis with Boundary Elements 112, 13-24, 2020 | 35 | 2020 |
On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using Generalized Finite Differences JJ Benito, A García, L Gavete, M Negreanu, F Ureña, AM Vargas Engineering Analysis with Boundary Elements 113, 181-190, 2020 | 27 | 2020 |
Solving second order non-linear hyperbolic PDEs using generalized finite difference method (GFDM) F Ureña, L Gavete, A García, JJ Benito, AM Vargas Journal of Computational and Applied Mathematics 363, 1-21, 2020 | 18 | 2020 |
Solving a chemotaxis–haptotaxis system in 2D using Generalized Finite Difference Method JJ Benito, A García, L Gavete, M Negreanu, F Ureña, AM Vargas Computers & Mathematics with Applications 80 (5), 762-777, 2020 | 17 | 2020 |
Non-linear Fokker-Planck equation solved with generalized finite differences in 2D and 3D F Ureña, L Gavete, ÁG Gómez, JJ Benito, AM Vargas Applied Mathematics and Computation 368, 124801, 2020 | 16 | 2020 |
Solving a fully parabolic chemotaxis system with periodic asymptotic behavior using generalized finite difference method JJ Benito, A García, L Gavete, M Negreanu, F Ureña, AM Vargas Applied Numerical Mathematics 157, 356-371, 2020 | 11 | 2020 |
On a parabolic‐elliptic chemotaxis system with periodic asymptotic behavior M Negreanu, JI Tello, AM Vargas Mathematical Methods in the Applied Sciences 42 (4), 1210-1226, 2019 | 11 | 2019 |
On a fully parabolic chemotaxis system with source term and periodic asymptotic behavior M Negreanu, JI Tello, AM Vargas Zeitschrift für angewandte Mathematik und Physik 71 (2), 65, 2020 | 10 | 2020 |
An effective numeric method for different formulations of the elastic wave propagation problem in isotropic medium. E Salete, AM Vargas, A García, JJ Benito, F Ureña, M Ureña Applied Mathematical Modelling 96, 480-496, 2021 | 9 | 2021 |
Solving Monge-Ampère equation in 2D and 3D by generalized finite difference method JJ Benito, A García, L Gavete, M Negreanu, F Ureña, AM Vargas Engineering Analysis with Boundary Elements 124, 52-63, 2021 | 9 | 2021 |
A note on a periodic Parabolic-ODE chemotaxis system M Negreanu, JI Tello, AM Vargas Applied Mathematics Letters 106, 106351, 2020 | 9 | 2020 |
Solving a reaction–diffusion system with chemotaxis and non-local terms using Generalized Finite Difference Method. Study of the convergence JJ Benito, A García, L Gavete, M Negreanu, F Ureña, AM Vargas Journal of Computational and Applied Mathematics 389, 113325, 2021 | 8 | 2021 |
Convergence and numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers equation in 2D and 3D via generalized finite difference method A García, M Negreanu, F Ureña, AM Vargas International Journal of Computer Mathematics 99 (8), 1517-1537, 2022 | 7 | 2022 |
Convergence and numerical simulations of prey-predator interactions via a meshless method JJ Benito, A García, L Gavete, M Negreanu, F Ureña, AM Vargas Applied Numerical Mathematics 161, 333-347, 2021 | 6 | 2021 |
A novel spatio-temporal fully meshless method for parabolic PDEs JJ Benito, Á García, M Negreanu, F Ureña, AM Vargas Mathematics 10 (11), 1870, 2022 | 5 | 2022 |
On a fully parabolic chemotaxis system with nonlocal growth term M Negreanu, JI Tello, AM Vargas Nonlinear Analysis 213, 112518, 2021 | 5 | 2021 |
Convergence and numerical solution of a model for tumor growth JJ Benito, Á García, ML Gavete, M Negreanu, F Ureña, AM Vargas Mathematics 9 (12), 1355, 2021 | 5 | 2021 |
Complex ginzburg–landau equation with generalized finite differences E Salete, AM Vargas, Á García, M Negreanu, JJ Benito, F Ureña Mathematics 8 (12), 2248, 2020 | 5 | 2020 |