Benito, Juan J.García, ÁngelGavete, María LucíaNegreanu Pruna, MihaelaUreña, FranciscoVargas, Antonio M.2023-06-172023-06-1720212227-739010.3390/math9121355https://hdl.handle.net/20.500.14352/7345n this paper, we show the application of the meshless numerical method called “Generalized Finite Diference Method” (GFDM) for solving a model for tumor growth with nutrient density, extracellular matrix and matrix degrading enzymes, [recently proposed by Li and Hu]. We derive the discretization of the parabolic–hyperbolic–parabolic–elliptic system by means of the explicit formulae of the GFDM. We provide a theoretical proof of the convergence of the spatial–temporal scheme to the continuous solution and we show several examples over regular and irregular distribution of points. This shows the feasibility of the method for solving this nonlinear model appearing in Biology and Medicine in complicated and realistic domains.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttps://doi.org/10.3390/math9121355open access517Generalized finite difference methodMeshless numerical methodNumerical convergenceTumor growthParabolic-hyperbolic systemAnálisis matemático1202 Análisis y Análisis Funcional