Asymptotic High Order Mass-Preserving Schemes for a Hyperbolic Model of Chemotaxis

We introduce a new class of finite difference schemes for approximating the solutions to an initial-boundary value problem on a bounded interval for a one dimensional dissipative hyperbolic system with an external source term, which arises as a simple model of chemotaxis. Since the solutions to this problem may converge to non constant asymptotic states for… CONTINUE READING