Circular slits map of bounded multiply connected regions

• Main Authors: Sangawi, Ali W. K., Mohamed Murid, Ali Hassan, Nasser, Mohamed M. S.
• Format: Article
• Language: English
• Published: 2012
• Subjects: QD Chemistry
• Online Access: http://eprints.utm.my/id/eprint/46690/1/A.W.K.Sangawi_2012_Circular%20Slits%20Map%20of%20Bounded%20Multiply%20Connected%20Regions.pdf; http://eprints.utm.my/id/eprint/46690/; http://dx.doi.org/10.1155/2012/970928

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.