Numerical method for solving an inverse problem for a population model

被引：0
|
作者：
Denisov A.M. [1 ]
Makeev A.S. [1 ]
机构：
[1] Moscow State University, Leninskie gory, Moscow
来源：
Computational Mathematics and Mathematical Physics | 2006年 / 46卷 / 3期
基金：
俄罗斯基础研究基金会;
关键词：
Integral equations; Inverse problem for population model; Iterative methods;
D O I：
10.1134/S0965542506030134
中图分类号：
学科分类号：
摘要：
The inverse problem of determining the growth rate coefficient of biological objects from additional information on their time-dependent density is considered. Two nonlinear integral equations are derived for the unknown coefficient, which is determined on part of its domain from one equation and on the remaining part from the other equation. The nonlinear integral equations are solved by iterative methods. The convergence conditions for the iterative methods are formulated, and results of numerical experiments are presented. © MAIK "Nauka/Interperiodica" (Russia), 2006.
引用
收藏
页码：470 / 480
页数：10
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