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Solving a mixed boundary value problem via an integral equation with adjoint generalized neumann kernel in bounded multiply connected regions

Al-Hatemi, Samer A. and Mohamed Murid, Ali Hassan and Nasser, Mohamed M. S. (2013) Solving a mixed boundary value problem via an integral equation with adjoint generalized neumann kernel in bounded multiply connected regions. In: Proceedings Of The 20th National Symposium On Mathematical Sciences (SKSM20): Research In Mathematical Sciences: A Catalyst For Creativity And Innovation, PTS A And B.

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Official URL: http://dx.doi.org/10.1063/1.4801169

Abstract

In this paper, we solve the mixed boundary value problem on bounded multiply connected region by using the method of boundary integral equation. Our approach in this paper is to reformulate the mixed boundary value problem into the form of Riemann-Hilbert problem. The Riemann-Hilbert problem is then solved using a uniquely solvable Fredholm integral equation on the boundary of the region. The kernel of this integral equation is the adjoint generalized Neumann kernel. As an examination of the proposed method, some numerical examples for some different test regions are presented.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:integral equation
Subjects:Q Science
Divisions:Science
ID Code:51311
Deposited By: Haliza Zainal
Deposited On:27 Jan 2016 09:53
Last Modified:27 Sep 2017 15:14

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