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.

引用

页码：1122 / 1143

页数：22

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