TY - JOUR
T1 - Analysis of numerical schemes of a mathematical model for sickle cell depolymerization
AU - Chen, Mingxiang
AU - Clemence, Dominic P.
AU - Gibson, Gregory
PY - 2010/5/1
Y1 - 2010/5/1
N2 - The purpose of this paper is to present and discuss numerical schemes for a mathematical model that describes carbon monoxide mediated sickle cell polymer melting. Two Runge-Kutta methods are analyzed and shown to be unstable by calculating the first failure value of step size and displaying the bifurcation diagram of RK4. Two nonstandard finite difference (NSFD) schemes are proposed and analyzed; one is shown to be stable subject to a predictable bound on step size, while the second one is unconditionally stable.
AB - The purpose of this paper is to present and discuss numerical schemes for a mathematical model that describes carbon monoxide mediated sickle cell polymer melting. Two Runge-Kutta methods are analyzed and shown to be unstable by calculating the first failure value of step size and displaying the bifurcation diagram of RK4. Two nonstandard finite difference (NSFD) schemes are proposed and analyzed; one is shown to be stable subject to a predictable bound on step size, while the second one is unconditionally stable.
KW - Finite difference schemes
KW - NSFD methods
KW - Sickle cell melting
UR - https://www.scopus.com/pages/publications/77950866978
U2 - 10.1016/j.amc.2010.02.051
DO - 10.1016/j.amc.2010.02.051
M3 - Article
SN - 0096-3003
VL - 216
SP - 1489
EP - 1500
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 5
ER -