| 一道数学建模问题的Matlab求解方法 |
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| 引用本文： | 朱夜明,乔宗敏.一道数学建模问题的Matlab求解方法[J].安庆师范学院学报(自然科学版),2006,12(1):42-45. |
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| 作者姓名： | 朱夜明 乔宗敏 |
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| 作者单位： | 安徽大学,学报编辑部,安徽,合肥,230039;安徽教育学院,数学系,安徽,合肥,230061 |
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| 基金项目： | 安徽省教育厅青年科研基金项目(2005jql1153) |
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| 摘 要： | 借助于Matlab工具箱中四阶龙格-库塔法求解微分方程的工具,对一类数学建模问题进行了研究。通过对渡河问题的解析解和数值解进行图像和理论分析,说明了四阶龙格-库塔法对求解此类数学建模问题的有效性和实用性。
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| 关 键 词： | 数学建模 Matlab 龙格-库塔法 |
| 文章编号： | 1007-4260（2006）01-0042-04 |
| 收稿时间： | 2005-11-23 |
| 修稿时间： | 2005-11-23 |
The Solution to a Mathematical Modeling Problem Based on Matlab |
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| ZHU Ye-ming,QIAO Zong-min.The Solution to a Mathematical Modeling Problem Based on Matlab[J].Journal of Anqing Teachers College(Natural Science Edition),2006,12(1):42-45. |
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| Authors: | ZHU Ye-ming QIAO Zong-min |
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| Institution: | 1 .the editorial department of Anhui University, Hefei 230039;2 .Department of Mathematics, Anhui Education Institute, Hefei 230061 |
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| Abstract: | A mathematical modeling problem is considered by means of the fourthorder Runge-Kutta method in the Matlab toolbox.The image and theoretical analysis of the analytic and numerical solution of a river-crossing model show that fourth order Runge-Kutta method is effective and practical in solving mathematical modeling problems like this. |
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| Keywords: | mathematical modeling Matlab Runge-Kutta method |
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