A high order finite volume scheme for the numerical solution of an atherosclerosis model
Presented by Prof. Arturo HIDALGO
Type: Oral presentation
Track: Numerical Methods for Partial Differential Equations
This work is devoted to the numerical simulation of an atherosclerosis model, proposed by El Khatib et al. (2007). The numerical simulation is carried out by means of a finite volume scheme based on high-order ADER methodology. Concerning the asymptotic behaviour of the solutions, the numerical examples show that a small perturbation of a healthy steady state makes the system evolve to a disease equilibrium for some choice of the parameters. We apply our numerical scheme to determine if each initial datum in a huge family of initial data is attracted by a disease equilibrium or by a healthy steady state. Simultaneously we compute the steady states.