Murid, Ali H. M. and Laey, Nee Hu and Mohamad, MohdNor
(2008)
*Numerical conformal mapping of doubly connected regions onto a disc with a circular slit.*
Journal of Quality Measurement and Analysis, 4
(2).
pp. 29-8.
ISSN 1823-5670

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Official URL: http://pkukmweb.ukm.my/~ppsmfst/jqma/jqma4_2.html

## Abstract

An integral equation method based on the Neumann kernel for conformal mapping f(z) of doubly connected regions onto a unit disc with a circular slit of radius ? < 1 is presented. The theoretical development is based on the boundary integral equation for conformal mapping of doubly connected region in an earlier work of the authors. In this paper, a related system of integral equations is constructed that is satisfied by f '(z) and ?. For numerical experiment, the integral equation is discretised which leads to a system of nonlinear equations. The system obtained is solved simultaneously using Gauss-Newton method. Numerical implementation on a circular annulus is also presented

Item Type: | Article |
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Uncontrolled Keywords: | conformal mapping; integral equation; doubly connected region; Neumann kernel; Gauss-Newton method |

Subjects: | H Social Sciences > H Social Sciences (General) |

Divisions: | Science |

ID Code: | 2742 |

Deposited By: | Norzubaidha Ismail |

Deposited On: | 21 May 2007 07:03 |

Last Modified: | 14 Oct 2010 02:32 |

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