Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball

被引：20
|
作者：
Karachik, V. V. [1 ]
机构：
[1] Southern Ural State Univ, Chelyabinsk 454080, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2014年 / 54卷 / 07期
关键词：
polyharmonic equation; Almansi formula; polyharmonic polynomials; Dirichlet problem; polynomial solutions;
D O I：
10.1134/S0965542514070070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An algorithm is proposed for the analytical construction of a polynomial solution to Dirichlet problem for an inhomogeneous polyharmonic equation with a polynomial right-hand side and polynomial boundary data in the unit ball.
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收藏
页码：1122 / 1143
页数：22
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