Solving a Mixed Boundary Value Problem via an Integral Equation with Adjoint Generalized Neumann Kernel in Bounded Multiply Connected Regions

被引：3
|
作者：
Al-Hatemi, Samer A. A. [1 ,2 ]
Murid, Ali H. M. [1 ,2 ]
Nasser, Mohamed M. S. [3 ]
机构：
[1] Univ Teknol Malaysia, Fac Sci, Dept Math Sci, Johor Baharu 81310, Johor Dt, Malaysia
[2] Univ Teknol Malaysia, Ibnu Sina Inst Fundamental Sci Studies, Johor Baharu 81310, Johor Dt, Malaysia
[3] King Khalid Univ, Fac Sci, Dept Math, Abha, Saudi Arabia
来源：
PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM20): RESEARCH IN MATHEMATICAL SCIENCES: A CATALYST FOR CREATIVITY AND INNOVATION, PTS A AND B | 2013年 / 1522卷
关键词：
Riemann-Hilbert Problem; Fredholm Integral Equation with Adjoint Generalized Neumann Kernel; Mixed Boundary Value Problem; Bounded Multiply Connected Region; PLANE POTENTIAL PROBLEMS; FAST SOLVER;
D O I：
10.1063/1.4801169
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we solve the mixed boundary value problem on bounded multiply connected region by using the method of boundary integral equation. Our approach in this paper is to reformulate the mixed boundary value problem into the form of Riemann-Hilbert problem. The Riemann-Hilbert problem is then solved using a uniquely solvable Fredholm integral equation on the boundary of the region. The kernel of this integral equation is the adjoint generalized Neumann kernel. As an examination of the proposed method, some numerical examples for some different test regions are presented.
引用
收藏
页码：508 / 517
页数：10
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