| 基于有限元方法求解带有年龄结构的种群模型 |
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| 引用本文： | 郝永乐,左平,朱青.基于有限元方法求解带有年龄结构的种群模型[J].吉林大学学报(理学版),2002,57(6):1407-1410. |
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| 作者姓名： | 郝永乐 左平 朱青 |
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| 作者单位： | 1. 周口师范学院 数学与统计学院, 河南 周口 466001; 2. 空军航空大学 基础部, 长春 130022 |
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| 摘 要： | 考虑带有年龄结构及随机扩散项种群模型的数值解问题. 首先, 对模型进行积分, 得到简化后的偏微分方程形式, 并给出其变分处理; 然后使用等分剖分作为有限区间的有限元方法对模型进行数值求解, 给出全离散格式及误差分析； 最后在数值模拟中给出种群模型的数值解及误差分析.
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| 关 键 词： | 种群模型 有限元方法 抛物方程 Crank-Nicoison格式 |
| 收稿时间： | 2019-05-29 |
Population Model with Age Structure Solvedby Finite Element Method |
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| HAO Yongle,ZUO Ping,ZHU Qing.Population Model with Age Structure Solvedby Finite Element Method[J].Journal of Jilin University: Sci Ed,2002,57(6):1407-1410. |
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| Authors: | HAO Yongle ZUO Ping ZHU Qing |
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| Institution: | 1. School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, Henan Province, China;
2. Department of Foundation, Aviation University of Air Force, Changchun 130022, China
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| Abstract: | We considered the numerical solution of population model with age structure and random diffusion term.Firstly, we integrated the model, obtained the simplified form of partial differential equation, and gave its variational trentment. Secondly, we used finite elementmethod with equal partition as finite interval to solve model numerically, and gave the full discrete form and error analysis. Finally, we gave anumerical solution and error analysis of poulation model in numerical simulation. |
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| Keywords: | population model finite element method parabolic equation Crank Nicoison form |
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