Annulus with Circular Slit Map of Bounded Multiply Connected Regions via Integral Equation Method

被引：1
|
作者：
Sangawi, Ali W. K. [1 ,2 ,3 ]
Murid, Ali H. M. [1 ,2 ]
Nasser, M. M. S. [4 ,5 ]
机构：
[1] Univ Teknol Malaysia, Ibnu Sina Inst Fundamental Sci Studies, Utm Johor Bahru 81310, Johor, Malaysia
[2] Univ Teknol Malaysia, Dept Math, Fac Sci, Utm Johor Bahru 81310, Johor, Malaysia
[3] Univ Sulaimani, Coll Sci, Dept Math, TR-46001 Sulaimani, Kurdistan, Turkey
[4] Ibb Univ, Fac Sci, Dept Math, Ibb, Yemen
[5] King Khalid Univ, Fac Sci, Dept Math, Abha, Saudi Arabia
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2012年 / 35卷 / 04期
关键词：
Numerical conformal mapping; boundary integral equations; Neumann kernel; generalized Neumann kernel; multiply connected regions; GENERALIZED NEUMANN KERNEL; CHARGE SIMULATION METHOD; DOMAINS;
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 boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto an annulus with circular slits. The method is based on some uniquely solvable linear integral equations with classical, adjoint and generalized Neumann kernels. These boundary integral equations are constructed from a boundary relationship that relates the mapping function f on a multiply connected region with f', theta', and vertical bar f vertical bar, where theta is the boundary correspondence function. Some numerical examples are presented to illustrate the efficiency of the presented method.
引用
收藏
页码：945 / 959
页数：15
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