具有年龄结构的种群扩散系统反问题的数值解  

Numerical Method for an Inverse Problem of age-Dependent Population System with Diffusion

作　　者：辛志贤[1] 张启敏[1,2] 哈金才[1] 

机构地区：[1]北方民族大学数学与信息科学学院,银川750021 [2]宁夏大学数学与计算机学院,银川750021

出　　处：《河南师范大学学报（自然科学版）》2016年第4期27-33,共7页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11461053;11261043);宁夏自然科学基金(NZ15104)

摘　　要：研究了一类具有年龄结构的种群扩散系统反问题的数值解.对原系统变形后建立了具有高精度的四阶Pade差分格式来计算种群的密度和扩散系数,该格式的截断误差为O(τ2+h4)并且无条件稳定,所得结果能更准确的描述种群密度和扩散系数.数值算例验证了方法的精确性和可靠性.Numerical method for an inverse problem of age-dependent population systems with diffusion is studied in this paper. A forth-order Pade numerical algorithm is proposed to calculate the population and the diffusion coefficient after a series of original form changes. The forth-order Pade numerical algorithm is unconditionally stable and has a truncation error of O（r2 ＋h4）. The obtained results can reflect the population and the diffusion coefficient more accurately. Finally, a numerical example is presented to demonstrate the efficiency and accuracy of the numerical method.

关 键 词：年龄结构 种群扩散系统 反问题 四阶Pade格式 

分 类 号：O193[理学—数学]