Yunus A.A.M.Murid A.H.M.Nasser M.M.S.2024-05-292024-05-2920141364502110.1098/rspa.2013.05142-s2.0-84890608879https://www.scopus.com/inward/record.uri?eid=2-s2.0-84890608879&doi=10.1098%2frspa.2013.0514&partnerID=40&md5=8a626c6d6cbde0a8bb333fdeae24ae87https://oarep.usim.edu.my/handle/123456789/9717This 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. � 2013 The Author(s) Published by the Royal Society. All rights reserved.en-USAdjoint generalized Neumann kernelNumerical conformal mappingUnbounded multiply connected regionsBoundary integral equationsBoundary integral equation methodBoundary valuesGeneralized Neumann kernelLogarithmic spiralMapping functionsMultiply connected regionsNumerical conformal mappingPiecewise smooth boundaryConformal mappingArticle470216220130514