A Second-Order Finite Difference Approximation for a Mathematical Model of Erythropoiesis

作者：Ackleh Azmy S; Thibodeaux Jeremy J^*

来源：Numerical Methods for Partial Differential Equations, 2013, 29(6): 1821-1836.

DOI：10.1002/num.21778

• erythropoiesis
• finite difference
• second-order

We present a second-order finite difference scheme for approximating solutions of a mathematical model of erythropoiesis, which consists of two nonlinear partial differential equations and one nonlinear ordinary differential equation. We show that the scheme achieves second-order accuracy for smooth solutions. We compare this scheme to a previously developed first-order method and show that the first order method requires significantly more computational time to provide solutions with similar accuracy. We also compare this numerical scheme with other well-known second-order methods and show that it has better capability in approximating discontinuous solutions. Finally, we present an application to recovery after blood loss.

• 出版日期2013-11