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Integral equation approach for computing green's function on unbounded simply connected region

Nezhad, Sheida Chahkandi (2013) Integral equation approach for computing green's function on unbounded simply connected region. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.

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Abstract

This research is to compute the Green’s function on an unbounded simply connected region by conformal mapping and by solving an exterior Dirichlet problem. The exact Green’s function is found by using Riemann mapping and M bius transform. 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 Nystr?m method with the trapezoidal rule to discretize it into a system. The linear system is solved by the Gaussian elimination method. As an examination of the proposed method, several numerical examples for some various test regions are presented. These examples include a comparison between the numerical result and the exact solutions.

Item Type:Thesis (Masters)
Additional Information:Thesis (Sarjana Sains (Matematik)) - Universiti Teknologi Malaysia, 2013; Supervisor : Assoc. Prof. Dr. Ali Hassan Mohamed Murid
Uncontrolled Keywords:computing green's, connected region
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:47944
Deposited By:INVALID USER
Deposited On:05 Oct 2015 11:41
Last Modified:17 Jul 2017 14:48

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