A Boundary Integral Equation with the Generalized Neumann Kernel for a Certain Class of Mixed Boundary Value Problem

被引：8

作者：

Nasser, Mohamed M. S. ^{[1
,2
]}

Murid, Ali H. M. ^{[3
,4
]}

Al-Hatemi, Samer A. A. ^{[3
]}

机构：

[1] King Khalid Univ, Fac Sci, Dept Math, Abha, Saudi Arabia

[2] Ibb Univ, Fac Sci, Dept Math, Ibb, Yemen

[3] Univ Teknol Malaysia, Fac Sci, Dept Math Sci, Utm Johor Bahru 81310, Johor, Malaysia

[4] Univ Teknol Malaysia, Ibnu Sina Inst Fundamental Sci Studies, Utm Johor Bahru 81310, Johor, Malaysia

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

关键词：

MULTIPLY-CONNECTED REGIONS; RIEMANN-HILBERT PROBLEM; PLANE POTENTIAL PROBLEMS; LAPLACES-EQUATION; FAST SOLVER; DOMAINS; MODE; MAP;

D O I：

10.1155/2012/254123

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a uniquely solvable boundary integral equation with the generalized Neumann kernel for solving two-dimensional Laplace's equation on multiply connected regions with mixed boundary condition. Two numerical examples are presented to verify the accuracy of the proposed method.

引用

页数：17

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