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Solving Robin problems in bounded doubly connected regions via an integral equation with the eneralized Neumann Kernel

Hussein, Shwan Hassan and Mohamed Murid, Ali Hassan and Ismail, Munira and Muminov, Mukhiddin I. (2015) Solving Robin problems in bounded doubly connected regions via an integral equation with the eneralized Neumann Kernel. In: Simposium Kebangsaan Sains Matematik ke-23, 22-24 Feb, 2015, Johor Bahru, Johor.

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Abstract

This paper presents a boundary integral equation method for finding the solution of Robin problems in bounded multiply connected regions. The Robin problems are formulated as a Riemann-Hilbert problems which lead to systems of integral equations and the related differential equations are also constructed that give rise to unique solutions are shown. Numerical results on several test regions are presented to illustrate that the approximate solution when using this method for the Robin problems when the boundaries are sufficiently smooth are accurate.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:Robin problem, integral equation
Subjects:T Technology > TA Engineering (General). Civil engineering (General)
Divisions:Science
ID Code:61493
Deposited By: Widya Wahid
Deposited On:25 Apr 2017 04:13
Last Modified:10 Aug 2017 06:32

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