| 二维圆盘传递装置药物非线性扩散的优化控制模型及算法 |
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| 引用本文： | 黄红梅,李友云,向子权.二维圆盘传递装置药物非线性扩散的优化控制模型及算法[J].数学理论与应用,2014(4):76-81. |
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| 作者姓名： | 黄红梅 李友云 向子权 |
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| 作者单位： | 长沙理工大学数学与计算机科学学院,长沙410000 |
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| 摘 要： | 本文首先给出了二维圆盘传递装置在极坐标下的药物非线性扩散最优控制模型.然后,用基于迭代法的最小二乘方法求解模型的非线性扩散方程,并估计相应的扩散系数.最后,通过一个数值算例,验证该控制模型和算法在二维圆盘传递装置中是有效的.
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| 关 键 词： | 二维圆盘传递装置 扩散方程 最小二乘方法 |
An Optimal Control Model and the Computer Algorithm for the Diffusion Parameter of the Nonlinearity Drug Releasing in a 2D - disc Device |
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| Huang Hongmei Li Youyun Xiang Ziquan.An Optimal Control Model and the Computer Algorithm for the Diffusion Parameter of the Nonlinearity Drug Releasing in a 2D - disc Device[J].Mathematical Theory and Applications,2014(4):76-81. |
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| Authors: | Huang Hongmei Li Youyun Xiang Ziquan |
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| Affiliation: | Huang Hongmei Li Youyun Xiang Ziquan ( School of Mathematics and Computer Science, Changsha University of Science and Technology, Changsha 410114, China) |
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| Abstract: | In this study, an optimal control model for modeling the nonlinear diffusion of the drug releasing in a 2D - disc device in the polar coordinate system is set up with a diffusion equation, and an algorithm by applying the least square method in the iteration method is designed to solve the nonlinear diffusion equation and estimate the diffusion coefficients. The validity of the algorithm is demonstrated by a numerical example in the last section. |
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| Keywords: | The 2D - disc device Diffusion equation The Least Square Method |
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