| 具有年龄结构的种群扩散系统反问题的数值解 |
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| 引用本文： | 辛志贤,张启敏,哈金才.具有年龄结构的种群扩散系统反问题的数值解[J].河南师范大学学报(自然科学版),2016(4):27-33. |
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| 作者姓名： | 辛志贤 张启敏 哈金才 |
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| 作者单位： | 北方民族大学数学与信息科学学院;宁夏大学数学与计算机学院 |
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| 基金项目： | 国家自然科学基金(11461053;11261043);宁夏自然科学基金(NZ15104) |
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| 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.
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| 关 键 词： | 年龄结构 种群扩散系统 反问题 四阶Pade格式 |
Numerical Method for an Inverse Problem of age-Dependent Population System with Diffusion |
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| XIN Zhixian;ZHANG Qimin;HA Jincai.Numerical Method for an Inverse Problem of age-Dependent Population System with Diffusion[J].Journal of Henan Normal University(Natural Science),2016(4):27-33. |
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| Authors: | XIN Zhixian;ZHANG Qimin;HA Jincai |
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| Institution: | XIN Zhixian;ZHANG Qimin;HA Jincai;School of Mathematics and Information Science,Beifang University for Nationalities;School of Mathematics and Computer Science,Ningxia University; |
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| Abstract: | 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(τ2+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. |
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| Keywords: | age-structured population system with diffusion inverse problem forth-order Pade numerical algorithm |
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