Solving second order non-linear parabolic PDEs using generalized finite difference method (GFDM). - Francisco Ureña; Luis Gavete; Ángel García Gómez; Juan José Benito; Antonio Manuel Vargas (J. Comput. Appl. Math., 2019)

Non-linear Fokker-Planck equation solved with generalized finite differences in 2D and 3D. - Francisco Ureña; Luis Gavete; Ángel García Gómez; Juan José Benito; Antonio Manuel Vargas (Appl. Math. Comput., 2020)

A note on a periodic Parabolic-ODE chemotaxis system. - Mihaela Negreanu; J. Ignacio Tello; Antonio Manuel Vargas (Appl. Math. Lett., 2020)

Solving a chemotaxis-haptotaxis system in 2D using Generalized Finite Difference Method. - Juan José Benito; Ángel García Gómez; Luis Gavete; Mihaela Negreanu; Francisco Ureña; Antonio Manuel Vargas (Comput. Math. Appl., 2020)

Solving second order non-linear hyperbolic PDEs using generalized finite difference method (GFDM). - Francisco Ureña; Luis Gavete; Ángel García Gómez; Juan José Benito; Antonio Manuel Vargas (J. Comput. Appl. Math., 2020)

Continuous and discrete periodic asymptotic behavior of solutions to a competitive chemotaxis PDEs system. - Mihaela Negreanu; Antonio Manuel Vargas (Commun. Nonlinear Sci. Numer. Simul., 2021)

Solving a reaction-diffusion system with chemotaxis and non-local terms using Generalized Finite Difference Method. Study of the convergence. - Juan José Benito; Ángel García Gómez; Luis Gavete; Mihaela Negreanu; Francisco Ureña; Antonio Manuel Vargas (J. Comput. Appl. Math., 2021)

Solving Eikonal equation in 2D and 3D by generalized finite difference method. - Eduardo Salete 001; Jesús Flores; Ángel García Gómez; Mihaela Negreanu; Antonio Manuel Vargas; Francisco Ureña (Comput. Math. Methods, 2021)

Convergence and numerical solution of nonlinear generalized Benjamin-Bona-Mahony-Burgers equation in 2D and 3D via generalized finite difference method. - Ángel García Gómez; Mihaela Negreanu; Francisco Ureña; Antonio Manuel Vargas (Int. J. Comput. Math., 2022)

Finite difference method for solving fractional differential equations at irregular meshes. - Antonio Manuel Vargas (Math. Comput. Simul., 2022)

A spatio-temporal fully meshless method for hyperbolic PDEs. - Jesús Flores; Ángel García Gómez; Mihaela Negreanu; Eduardo Salete 001; Francisco Ureña; Antonio Manuel Vargas (J. Comput. Appl. Math., 2023)

Convergence of a meshless numerical method for a chemotaxis system with density-suppressed motility. - Federico Herrero-Hervás; Mihaela Negreanu; Antonio Manuel Vargas (Comput. Math. Appl., 2023)

Solving a fractional chemotaxis system with logistic source using a meshless method. - Antonio Manuel Vargas (Appl. Math. Lett., 2024)

On the numerical solution to space fractional differential equations using meshless finite differences. - A. García; Mihaela Negreanu; Francisco Ureña; Antonio Manuel Vargas (J. Comput. Appl. Math., 2025)