| 一类积分方程配置解的外推 |
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| 引用本文： | 刘经洪,朱起定. 一类积分方程配置解的外推[J]. 湖南文理学院学报(自然科学版), 2004, 16(3): 3-5 |
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| 作者姓名： | 刘经洪 朱起定 |
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| 作者单位： | 湖南师范大学,数学与计算机科学学院,湖南,长沙,410081;湖南师范大学,数学与计算机科学学院,湖南,长沙,410081 |
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| 摘 要： | 利用边界元方法将调和方程边值问题转化为求解边界积分方程的问题,介绍了这种边界积分方程(Poisson积分方程)的配置算法.主要讨论了所得配置解余项的渐进展开式,并通过它获得了具有O(h3)高精度的外推解.
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| 关 键 词： | Poisson积分方程 配置解 外推 |
| 文章编号： | 1672-6146(2004)02-0003-03 |
| 修稿时间： | 2004-05-17 |
An Extrapolation Method for Collocation Solution Of Class Of Integral Equation |
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| LIU Jing - hong,ZHU Qi - ding. An Extrapolation Method for Collocation Solution Of Class Of Integral Equation[J]. Journal of Hunan University of Arts and Science:Natural Science Edition, 2004, 16(3): 3-5 |
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| Authors: | LIU Jing - hong ZHU Qi - ding |
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| Abstract: | The harmonic equations and the boundary integral eqaations were solved by using the boundary element methods. And the collocation method for solving this integral equation (Poisson integral equation) was introduced. The asymptotic expansion for the remainder of the collocation solution was discussed,from which the extrapolation solution with high accuracy 0( h3 ) was obtained. |
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| Keywords: | Poisson integral equation collocaton solution extrapolation |
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