[1]鞠 银,刘三明,王美珍.椭圆外区域上双曲问题的自然边界元法[J].南京师大学报(自然科学版),2013,36(01):29-36.
　Ju Yin,Liu Sanming,Wang Meizhen.Natural Boundary Element Method for the Hyperbolic Problems in an Exterior Elliptic Domain[J].Journal of Nanjing Normal University(Natural Science Edition),2013,36(01):29-36.
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椭圆外区域上双曲问题的自然边界元法()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第36卷
期数:
2013年01期
页码:
29-36
栏目:
数学
出版日期:
2013-03-31

文章信息/Info

Title:
Natural Boundary Element Method for the Hyperbolic Problems in an Exterior Elliptic Domain
作者:
鞠 银; 刘三明; 王美珍
上海电机学院数理教学部,上海200240
Author(s):
Ju Yin; Liu Sanming; Wang Meizhen
Department of Mathematics and Physics,Shanghai Dianji University,Shanghai 200240,China
关键词:
椭圆外区域; 双曲方程; 外问题; 自然边界归化; 数值解
Keywords:
exterior elliptic domain; hyperbolic equation; exterior problem; natural boundary reduction; numerical solution
分类号:
O241.82
摘要:
研究了椭圆外区域上双曲问题的自然边界元法.利用自然边界归化原理,获得该问题的Poisson积分公式及自然积分方程,给出了自然积分方程的数值方法,最后给出数值例子以示文中所得的人工边界条件的有效性.
Abstract:
In this paper,we investigate the natural boundary element method for the hyperbolic problems in an exterior elliptic domain.By the principle of the natural boundary reduction,we obtain the Poisson integral formula and the natural integral equation,and give the numberical method of the natural integral equation.Finally,we presented some numerical examples to demonstrate the performance of our method.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2012-02-23.
基金项目:上海市自然科学基金(12ZR1411600).
通讯联系人:鞠银,讲师,研究方向:微分方程数值解.E-mail:juyinxue@tom.com
更新日期/Last Update: 2013-03-31