CONSTRUCTIVE METHOD FOR SOLVING THE EXTERNAL NEUMANN BOUNDARY VALUE PROBLEM FOR THE HELMHOLTZ EQUATION

被引：0

作者：

Abdullayev, Fuad A. ^{[1
]}

Khalilov, Elnur H. ^{[2
]}

机构：

[1] Baku State Univ, AZ-1148 Baku, Azerbaijan

[2] Azerbaijan State Oil & Ind Univ, AZ-1010 Baku, Azerbaijan

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2018年 / 44卷 / 01期

关键词：

Helmholtz equation; external Neumann boundary value problem; surface integral; cubature formula; collocation method;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work presents the justification of collocation method for the boundary integral equation of the external Neumann boundary value problem for the Helmholtz equation. Besides, the sequence of approximate solutions is built which converges to the exact solution of the original problem and the estimate for the rate of convergence is obtained.

引用

页码：62 / 69

页数：8

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