Aspon, Siti Zulaiha and Mohamed Murid, Ali Hassan and Nasser, Mohamed M. S. and Rahmat, Hamisan (2014) Integral equation approach for computing green’s function on doubly connected regions via the generalized Neumann kernel. Jurnal Teknologi, 71 (1). pp. 4954. ISSN 01279696

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Official URL: http://dx.doi.org/10.11113/jt.v71.3613
Abstract
This research is about computing the Green’s function on doubly connected regions by using the method of boundary integral equation. The method depends on solving a Dirichlet problem. The Dirichlet 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. The method for solving this integral equation is by using the Nystrӧm method with trapezoidal rule to discretize it to a linear system. The linear system is then solved by the Gauss elimination method. Mathematica plots of Green’s functions for several test regions are also presented
Item Type:  Article 

Uncontrolled Keywords:  green’s function, Dirichlet problem, integral equation, generalized Neumann kernel 
Subjects:  Q Science > QA Mathematics 
Divisions:  Others 
ID Code:  53199 
Deposited By:  Siti Nor Hashidah Zakaria 
Deposited On:  01 Feb 2016 03:51 
Last Modified:  19 Jul 2018 07:25 
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