Integral equation approach for computing green's function on doubly connected regions via the generalized Neumann kernel

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 th...

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Bibliographic Details
Main Authors: Aspon, Siti Zulaiha (Author), Mohamed Murid, Ali Hassan (Author), Nasser, Mohamed M. S. (Author), Rahmat, Hamisan (Author)
Format: Article
Language:English
Published: Penerbit UTM, 2014.
Subjects:
Online Access:Get fulltext
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042 |a dc 
100 1 0 |a Aspon, Siti Zulaiha  |e author 
700 1 0 |a Mohamed Murid, Ali Hassan  |e author 
700 1 0 |a Nasser, Mohamed M. S.  |e author 
700 1 0 |a Rahmat, Hamisan  |e author 
245 0 0 |a Integral equation approach for computing green's function on doubly connected regions via the generalized Neumann kernel 
260 |b Penerbit UTM,   |c 2014. 
856 |z Get fulltext  |u http://eprints.utm.my/id/eprint/53199/1/SitiZulaihaAspon2014_Integralequationapproachforcomputing.pdf 
520 |a 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 
546 |a en 
650 0 4 |a QA Mathematics