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.
出处
《河南师范大学学报（自然科学版）》
CAS
北大核心
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)
关键词
年龄结构
种群扩散系统
反问题
四阶Pade格式
age-structured
population system with diffusion
inverse problem
forth-order Pade numerical algorithm
