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A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions

Al-Hatemi, Samer A. A. and Mohamed Murid, Ali Hassan and Nasser, Mohamed M. S. (2013) A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions. Boundary Value Problems . pp. 1-17. ISSN 1687-2770

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Official URL: http://dx.doi.org/10.1186/1687-2770-2013-54

Abstract

In this paper we propose a new method for solving the mixed boundary value problem for the Laplace equation in unbounded multiply connected regions. All simple closed curves making up the boundary are divided into two sets. The Dirichlet condition is given for one set and the Neumann condition is given for the other set. The mixed problem is reformulated in the form of a Riemann-Hilbert (RH) problem which leads to a uniquely solvable Fredholm integral equation of the second kind. Three numerical examples are presented to show the effectiveness of the proposed method

Item Type:Article
Uncontrolled Keywords:Fredholm integral equation, generalized Neumann kernel, mixed boundary value problem, RH problem
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:50469
Deposited By: Siti Nor Hashidah Zakaria
Deposited On:02 Dec 2015 10:08
Last Modified:27 Sep 2018 12:12

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