TY - JOUR
T1 - A Numerical Method for the Identification of Linear Compartmental Systems
AU - Shao , Xiu-Min
JO - Journal of Computational Mathematics
VL - 1
SP - 14
EP - 27
PY - 1988
DA - 1988/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9494.html
KW - 
AB - <p style="text-align: justify;">This paper deals with an inverse problem of a system of ordinary differential equations whose coefficient matrix is the so-called compartmental matrix.This problem arises in a variety of areas such as pharmacokinetics, biology, economics, and so on. A numerical method applicable to the cases of non-unique solutions is developed, by which the projection of the starting value of iteration onto the manifold of solution can be obtained. The convergence of the method is proved. A few examples are examined, which shows the effectiveness of the given method.</p>