Convergence and Numerical Solution of a Model for Tumor Growth

In this paper, we show the application of meshless numerical method called “Generalized Finite Diference Method” (GFDM) for solving a model tumor growth with nutrient density, extracellular matrix and degrading enzymes, [recently proposed by Li Hu]. We derive discretization parabolic–hyperbolic–parabolic–elliptic system means explicit formulae GFDM. provide theoretical proof convergence spatial–temporal scheme to continuous solution several examples over regular irregular distribution points. This shows feasibility nonlinear appearing in Biology Medicine complicated realistic domains.