Solving Robin problems in multiply connected regions via an integral equation with the generalized Neumann kernel

• Main Authors: Al-Shatri, S. H. H., Murid, A. H. M., Ismail, M., Muminov, M. I.
• Format: Article
• Language: English
• Published: Springer International Publishing 2016
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/71868/1/AliHassanMohamed2016_SolvingRobinProblemsinMultiplyConnected.pdf; http://eprints.utm.my/id/eprint/71868/; https://www.scopus.com/inward/record.uri?eid=2-s2.0-84966262709&doi=10.1186%2fs13661-016-0599-2&partnerID=40&md5=e3a7cb835389aa34abb4b8210d04d0db
• Institution: Universiti Teknologi Malaysia

This paper presents a boundary integral equation method for finding the solution of Robin problems in bounded and unbounded multiply connected regions. The Robin problems are formulated as Riemann-Hilbert problems which lead to systems of integral equations and the related differential equations are...