| 一种用曲线坐标求边值问题数值解的方法 |
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| 引用本文： | 年四洪 罗远诠. 一种用曲线坐标求边值问题数值解的方法[J]. 大连理工大学学报, 1996, 36(6): 645-650 |
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| 作者姓名： | 年四洪 罗远诠 |
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| 作者单位： | 大连理工大学应用数学系 |
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| 摘 要： | 给出了一种用曲线坐标求角椭圆型偏微分方程自由边值问题的数值解法；该方法通过引入两个辅助问题，它们构成一个曲线坐标系。在这个坐标系下，原问题化为和左形域上的方程组的固定问题，后者容易用差分法求解，其优点是简单省时，给出三个实际算例。
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| 关 键 词： | 椭圆型方程 自由边值问题 差分法 数值解 |
Method for solving free boundary problems via curve coordinate |
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| Nian Sihong,Luo Yuanquan. Method for solving free boundary problems via curve coordinate[J]. Journal of Dalian University of Technology, 1996, 36(6): 645-650 |
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| Authors: | Nian Sihong Luo Yuanquan |
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| Abstract: | A numerical method is proposed for solving free boundary problems of elliptic partial differential equations in terms of curve coordinates. A curve coordinate system is established in which the original problem may be reduced to a fixed boundary problem over a rectangular region and thus may be solved by difference methods. Three algorithmic examples are given to demonstrate the method. |
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| Keywords: | elliptic equations free boundary problems difference methods |
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