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Title: Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions
Authors: A. A. M., Yunus
A. H. M., Murid
M. M. S., Nasser
Keywords: Adjoint Generalized Neumann Kernel
Numerical Conformal Mapping
Unbounded Multiply Connected Regions
Issue Date: 1-Jan-2014
Publisher: Royal Soc
Abstract: This paper presents a boundary integral equation method with the adjoint generalized Neumann kernel for computing conformal mapping of unbounded multiply connected regions and its inverse onto several classes of canonical regions. For each canonical region, two integral equations are solved before one can approximate the boundary values of the mapping function. Cauchy's-type integrals are used for computing the mapping function and its inverse for interior points. This method also works for regions with piecewise smooth boundaries. Three examples are given to illustrate the effectiveness of the proposed method.
ISSN: 1364-5021
Appears in Collections:Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences

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