Numerical conformal mapping of multiply connected regions onto the fifth category of Koebe's canonical slit regions

被引：26

作者：

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

机构：

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

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 398卷 / 02期

关键词：

Numerical conformal mapping; Multiply connected regions; Generalized Neumann kernel; INTEGRAL-EQUATION; DOMAINS; MAP;

D O I：

10.1016/j.jmaa.2012.09.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a boundary integral method for approximating the conformal mapping from bounded multiply connected regions onto the fifth category of Koebe's classical canonical slit regions. The method is based on a uniquely solvable boundary integral equation with generalized Neumann kernel. The results of some test calculations illustrate the performance of the presented method. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：729 / 743

页数：15

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