Ali H.M. Murid, and Laey , Nee Hu and Mohd Nor Mohamad, (2008) Numerical conformal mapping of doubly connected regions onto a disc with a circular slit. Journal of Quality Measurement and Analysis, 4 (2). pp. 29-38. ISSN 1823-5670
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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 µ < 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 µ. 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 |
|---|---|
| Keywords: | conformal mapping; integral equation; doubly connected region; Neumann kernel; Gauss-Newton method |
| Journal: | Journal of Quality Measurement and Analysis |
| ID Code: | 1874 |
| Deposited By: | Ms. Nor Ilya Othman |
| Deposited On: | 16 Jun 2011 02:06 |
| Last Modified: | 21 Sep 2011 07:31 |
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