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 RiemannHilbert problem. In the first step the exterior Neumann problem is reduced to an exterior RiemannHilbert problem for the derivative of an auxiliary function which is analytic in the region. Then, the exterior RiemannHilbert 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:  17 Sep 2017 05:37 
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