| 自由边界问题的积分方程方法 |
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| 引用本文： | 王子亭.自由边界问题的积分方程方法[J].中国石油大学学报(自然科学版),1992(1). |
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| 作者姓名： | 王子亭 |
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| 作者单位： | 石油大学数理系 |
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| 摘 要： | 用Cauchy积分方程的方法讨论了带有自由边界的渗流问题.借助于变量替换,把自由边界问题变为复势平面上固定边界的边值问题.利用Chebyshev正交多项式投影和多项式插值技巧得到了求解渗流自由边界问题的实用方法,并证明了该方法的误差估计及收敛性和稳定性.
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| 关 键 词： | 自由边界 Cauchy奇异积分方程 势函数 Chebyshev多项式 插值 |
SINGULAR INTEGRAL EQUATION APPLIED TO FREE BOUNDARY PROBLEMS |
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| Wang Ziting.SINGULAR INTEGRAL EQUATION APPLIED TO FREE BOUNDARY PROBLEMS[J].Journal of China University of Petroleum,1992(1). |
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| Authors: | Wang Ziting |
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| Institution: | Dept. of Mathematics and Physics |
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| Abstract: | This paper discusses fluid flow in porous media with a free boundary. By means of an inverse formulation of the fluid flow problem, the free boundary problem is inverted to a boundary problem with the fixed boundary in the complex potential plane. The calculation method for solving the free boundary problem is obtained by using Chebyshev's polynomial interpolation, Its error estimation, convergence and stability are given. |
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| Keywords: | Free boundary Cauchy integral equation Potential function Chebyshev polynomial Interpolation |
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