Boundary Integral Equations with the Generalized Neumann Kernel for the Neumann Problem

被引：0

作者：

Nasser, Mohamed M. S. ^{[1
]}

机构：

[1] Ibb Univ, Fac Sci, Dept Math, POB 20270, Ibb, Yemen

来源：

MATEMATIKA | 2007年 / 23卷 / 02期

关键词：

Neumann problem; Fredholm integral equation; Generalized Neumann kernel;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents a new method to solve the interior and the exterior Neumann problems in simply connected regions with smooth boundaries. The method is based on two uniquely solvable Fredholm integral equations of the second kind with the generalized Neumann kernel. Numerical examples reveal that the present method offers an effective numerical method for the Neumann problems when the boundaries are sufficiently smooth.

引用

页码：83 / 98

页数：16

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