On the Solution of Elliptic Equation (sum from k-0 to n) akΔ<sup>k</sup>φ=0 and Its Application in Mechanics On the solution of elliptic equation 487-1487-1487-1and its application in mechanics期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

On the Solution of Elliptic Equation (sum from k-0 to n) akΔ^kφ=0 and Its Application in Mechanics

摘要：	In this paper, the solution of elliptic equation (sum from k-0 to n) a_kΔ^kφ=0 is discussedin detail by the method of separation of variables in complex field. The general solution which can be used in the approximation to the boundary conditions of the practical problems is presented. Two practical examples in mechanics are given.
收稿时间：	11 March 1980
On the solution of elliptic equation 487-1487-1487-1and its application in mechanics

Authors:	Gai Bing-zheng

Institution:	(1) Haerbin Institute of Technology, Haerbin

Abstract:	In this paper, the solution of elliptic equation $\sum\limits_{k = 0}^n {a_k \Delta ^k \varphi = 0}$ is discussed in detail by the method of separation of variables in complex field. The general solution which can be used in the approximation to the boundary conditions of the practical problems is presented. Two practical examples in mechanics are given.

Keywords:
本文献已被 SpringerLink 等数据库收录！
	点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息
	点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文