RT Journal Article
T1 Convergence and Numerical Solution of a Model for Tumor Growth
A1 Benito, Juan J.
A1 García, Ángel
A1 Gavete, María Lucía
A1 Negreanu Pruna, Mihaela
A1 Ureña, Francisco
A1 Vargas, Antonio M.
AB n 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.
SN 2227-7390
YR 2021
FD 2021
LK https://hdl.handle.net/20.500.14352/7345
UL https://hdl.handle.net/20.500.14352/7345
LA eng
DS Docta Complutense
RD 9 abr 2025