Al-Shatri, S. H. H. and Murid, A. H. M. and Ismail, M. (2016) Solving robin problems in bounded doubly connected regions via an integral equation with the generalized neumann kernel. In: 23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015, 24 November 2015 through 26 November 2015, Johor Bahru; Malaysia.
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Abstract
This paper presents a new boundary integral equation method for the solution of Robin problems in bounded doubly connected regions. We show how to reformulate the Robin problems as a Riemann-Hilbert problem which leads to systems of integral equations. Related differential equations are also constructed that give rise to unique solutions. Numerical results on several test regions are presented to illustrate the solution technique for the Robin problems when the boundaries are sufficiently smooth.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | Doubly connected region, Generalized Neumann kernel, Integral equation, Riemann-Hilbert problem, Robin problem |
| Subjects: | T Technology > T Technology (General) |
| Divisions: | Islamic Studies |
| ID Code: | 73226 |
| Deposited By: | Muhammad Atiff Mahussain |
| Deposited On: | 18 Nov 2017 00:47 |
| Last Modified: | 18 Nov 2017 00:47 |
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