A boundary integral equation with the generalized Neumann kernel for a mixed boundary value problem in unbounded multiply connected regions

被引：4
|
作者：
Al-Hatemi, Samer A. A. [1 ]
Murid, Ali H. M. [1 ,2 ]
Nasser, Mohamed M. S. [3 ,4 ]
机构：
[1] Univ Teknol Malaysia, Dept Math Sci, Fac Sci, Johor Baharu 81310, Utm, Malaysia
[2] Univ Teknol Malaysia, UTM Ctr Ind & Appl Math, Johor Baharu 81310, Utm, Malaysia
[3] King Khalid Univ, Dept Math, Fac Sci, Abha, Saudi Arabia
[4] Ibb Univ, Dept Math, Fac Sci, Ibb, Yemen
来源：
BOUNDARY VALUE PROBLEMS | 2013年
关键词：
mixed boundary value problem; RH problem; Fredholm integral equation; generalized Neumann kernel; PLANE POTENTIAL PROBLEMS; RIEMANN-HILBERT PROBLEM; LAPLACES-EQUATION; FAST SOLVER; DOMAINS; MAP;
D O I：
10.1186/1687-2770-2013-54
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we propose a new method for solving the mixed boundary value problem for the Laplace equation in unbounded multiply connected regions. All simple closed curves making up the boundary are divided into two sets. The Dirichlet condition is given for one set and the Neumann condition is given for the other set. The mixed problem is reformulated in the form of a Riemann-Hilbert (RH) problem which leads to a uniquely solvable Fredholm integral equation of the second kind. Three numerical examples are presented to show the effectiveness of the proposed method.
引用
收藏
页码：1 / 17
页数：17
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