Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a rectangle

被引:0
作者
I. S. Malakhova
机构
[1] Chelyabinsk State University,Faculty of Mathematics
来源
Computational Mathematics and Mathematical Physics | 2011年 / 51卷
关键词
asymptotic expansion; two-scale expansion method; boundary-layer functions; boundary value problem for an elliptic equation;
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学科分类号
摘要
An elliptic equation in a rectangle with coefficients depending on a fast variable and with its period being a small parameter is considered. An asymptotic expansion of the solution up to an arbitrary degree of the small parameter is constructed and substantiated by applying the two-scale expansion method.
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页码:1360 / 1368
页数:8
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