Nazar, Kashif and Mohamed Murid, Ali Hassan and Sangawi, Ali W. K. (2015) Integral equation for the Ahlfors map on multiply connected regions. Jurnal Teknologi, 73 (1). pp. 19. ISSN 21803722

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Official URL: http://dx.doi.org/10.11113/jt.v73.3192
Abstract
This paper presents a new boundary integral equation with ɵ’ the adjoint Neumann kernel associated with where ɵ’ is the boundary correspondence function of Ahlfors map of a bounded multiply connected region onto a unit disk. The proposed boundary integral equation is constructed from a boundary relationship satisfied by the Ahlfors map of a multiply connected region. The integral equation is solved numerically for ɵ’ using combination of Nystrom method, GMRES method, and fast multiple method. From the computed values of ɵ’ we solve for the boundary correspondence function ɵ’ which then gives the Ahlfors map. The numerical examples presented here prove the effectiveness of the proposed method
Item Type:  Article 

Uncontrolled Keywords:  ahlfors map, adjoint neumann kernel 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  55973 
Deposited By:  Fazli Masari 
Deposited On:  15 Nov 2016 08:11 
Last Modified:  01 Nov 2017 04:17 
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