Publication:
Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions

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dc.citedby10
dc.contributor.affiliationsFaculty of Science and Technology
dc.contributor.affiliationsUniversiti Sains Islam Malaysia (USIM)
dc.contributor.affiliationsUniversiti Teknologi Malaysia (UTM)
dc.contributor.affiliationsKing Khalid University
dc.contributor.affiliationsIbb University
dc.contributor.authorYunus A.A.M.en_US
dc.contributor.authorMurid A.H.M.en_US
dc.contributor.authorNasser M.M.S.en_US
dc.date.accessioned2024-05-29T01:55:33Z
dc.date.available2024-05-29T01:55:33Z
dc.date.issued2014
dc.description.abstractThis 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.
dc.description.natureFinalen_US
dc.identifier.ArtNo20130514
dc.identifier.doi10.1098/rspa.2013.0514
dc.identifier.issn13645021
dc.identifier.issue2162
dc.identifier.scopus2-s2.0-84890608879
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84890608879&doi=10.1098%2frspa.2013.0514&partnerID=40&md5=8a626c6d6cbde0a8bb333fdeae24ae87
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/9717
dc.identifier.volume470
dc.languageEnglish
dc.language.isoen_US
dc.publisherRoyal Societyen_US
dc.relation.ispartofProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
dc.sourceScopus
dc.subjectAdjoint generalized Neumann kernelen_US
dc.subjectNumerical conformal mappingen_US
dc.subjectUnbounded multiply connected regionsen_US
dc.subjectBoundary integral equationsen_US
dc.subjectBoundary integral equation methoden_US
dc.subjectBoundary valuesen_US
dc.subjectGeneralized Neumann kernelen_US
dc.subjectLogarithmic spiralen_US
dc.subjectMapping functionsen_US
dc.subjectMultiply connected regionsen_US
dc.subjectNumerical conformal mappingen_US
dc.subjectPiecewise smooth boundaryen_US
dc.subjectConformal mappingen_US
dc.titleNumerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions
dc.typeArticleen_US
dspace.entity.typePublication

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