| 三维血吸虫病模型的离散算子数值解法及理论分析 |
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| 引用本文： | 李京 李海梁. 三维血吸虫病模型的离散算子数值解法及理论分析[J]. 高校应用数学学报(A辑), 1996, 0(2): 149-158 |
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| 作者姓名： | 李京 李海梁 |
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| 作者单位： | 济南市山东大学数学系，济南市山东大学数学系 邮码 250100，邮码 250100 |
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| 摘 要： | 本文基于积分守恒性质,应用离散算子方法,给出了三维血吸虫病模型第一齐次边值问题的离散格式,同时证明了数值解的非负性和有界性,较好地体现了这一问题的实际背景,另外给出了最优L~2模误差估计。
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| 关 键 词： | 血吸虫病模型 离散算子 数值解法 边值问题 |
THEORETICAL ANALYSIS OF THE METHOD OF DICRETE OPERATOR FOR A THREE-DIMENSIONAL SCHISTOSOMIASIS MODEL |
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| Li Jing,Li Hailiang Dept. of Math.,Shandong University,Jinan. THEORETICAL ANALYSIS OF THE METHOD OF DICRETE OPERATOR FOR A THREE-DIMENSIONAL SCHISTOSOMIASIS MODEL[J]. Applied Mathematics A Journal of Chinese Universities, 1996, 0(2): 149-158 |
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| Authors: | Li Jing Li Hailiang Dept. of Math. Shandong University Jinan |
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| Affiliation: | Li Jing,Li Hailiang Dept. of Math.,Shandong University,Jinan 250100 |
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| Abstract: | In this paper, we propose the discrete schemes for the first homogeneous boundaryvalue problems of the schistosomiasis model based on the method of discrete operator. Weprove that the approximate solutions keep nonnegative and satisfy the maximum principle,which embodies the nature of this problem. Furthermore, we obtain the optimal L~2-modelerror estimate. |
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| Keywords: | Schistosomiasis Model Discrete Operator |
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