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An integral equation method for solving exterior Neumann problems on smooth regions

Jumadi, Azlina (2009) An integral equation method for solving exterior Neumann problems on smooth regions. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.

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Abstract

This work develops a boundary integral equation method for numerical solution of the exterior Neumann problem. An integral equation for solving the exterior Neumann problem in a simply connected region is derived in this dissertation based on the exterior Riemann-Hilbert problem. In the first step the exterior Neumann problem is reduced to an exterior Riemann-Hilbert problem for the derivative of an auxiliary function which is analytic in the region. Then, the exterior Riemann-Hilbert problem is transformed to a uniquely solvable Fredholm integral equation on the boundary of the region. Once this equation is solved, the auxiliary function and the solution of the exterior Neumann problem can be obtained. The efficiency of the method is illustrated by some numerical examples.

Item Type:Thesis (Masters)
Additional Information:Thesis (Sarjana Sains (Matematik)) - Universiti Teknologi Malaysia, 2009; Supervisor : Dr. Munira Ismail
Uncontrolled Keywords:integral equation, exterior Neumann problems
Subjects:Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions:Science
ID Code:12322
Deposited By: S.N.Shahira Dahari
Deposited On:16 May 2011 04:48
Last Modified:19 Jul 2012 04:21

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