Circular Slits Map of Bounded Multiply Connected Regions

We present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto a circular slit region. The method is based on some uniquely solvable boundary integral equations with adjoint classical, adjoint generalized, and modified Neumann kernels. Th...

Full description

Saved in:
Bibliographic Details
Main Authors: Ali W. K. Sangawi, Ali H. M. Murid, M. M. S. Nasser
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/970928
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto a circular slit region. The method is based on some uniquely solvable boundary integral equations with adjoint classical, adjoint generalized, and modified Neumann kernels. These boundary integral equations are constructed from a boundary relationship satisfied by a function analytic on a multiply connected region. Some numerical examples are presented to illustrate the efficiency of the presented method.
ISSN:1085-3375
1687-0409