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.
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页数：17
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