摘要
研究一类各向异性抛物外问题的自然边界归化及其自然边界元方法.通过自然边界归化,获得了该问题的自然积分方程和Poisson积分公式,给出了自然积分方程的数值解法,并通过数值例子以示本文方法的可行性与有效性.
In this paper, natural boundary reduction and natural boundary method for an anisotropic problem in an exterior elliptic domain is investigated. By the theory of natural boundary reduction, the natural integral equation and the Poisson integral formula of the problem considered are obtained, and the numerical method of the natural integral equation is given. Finally, some numerical examples are presented to demonstrate the promising performance of the method.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2009年第3期368-378,共11页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(10871100)
关键词
各向异性问题
抛物型方程
外问题
自然边界归化
数值解
anisotropic problem
parabolic equation
exterior problem
natural boundary reduction
numerical solution
