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Solving a mixed boundary value problem via an integral equation with the generalized neumann kernel on unbounded multiply connected region

Alhatemi, S. A. A. and Mohamed Murid, Ali Hassan and Nasser, M. M. S. (2012) Solving a mixed boundary value problem via an integral equation with the generalized neumann kernel on unbounded multiply connected region. Malaysian Journal of Fundamental and Applied Sciences (MJFAS), 8 (4). pp. 177-181. ISSN 1823-626X

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Official URL: http://mjfas.ibnusina.utm.my/index.php/jfs/article...

Abstract

In this paper, we solve the mixed boundary value problem on unbounded 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 generalized Neumann kernel. As an examination of the proposed method, some numerical examples for some different test regions are presented

Item Type:Article
Additional Information:UTM Open Access Journal
Uncontrolled Keywords:riemann-hilbert problem, integral equation, generalized neumann kernel, laplace equation, mixed boundary value problem
Subjects:Q Science > Q Science (General)
Divisions:Science
ID Code:29094
Deposited By: Rahmah Samshi
Deposited On:13 Mar 2013 03:45
Last Modified:13 Mar 2013 03:45

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