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Conformal mapping of unbounded multiply connected regions onto logarithmic spiral slit with infinite straight slit

Mohamed Murid, Ali Hassan and A.M. Yunus, Arif (2016) Conformal mapping of unbounded multiply connected regions onto logarithmic spiral slit with infinite straight slit. In: The 4th International Conference of Mathematical Sciences : Championing the Way in a Problem Based and Data Driven Society, ICMS 2016, 15-17 Nov, 2016, Putrajaya, Malaysia.

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Official URL: http://dx.doi.org/10.1063/1.4980981

Abstract

This paper presents a boundary integral equation method with the adjoint generalized Neumann kernel for conformal mapping of unbounded multiply connected regions. The canonical region is the entire complex plane bounded by an infinite straight slit on the line Im ω = 0 and finite logarithmic spiral slits. Some linear boundary integral equations are constructed from a boundary relationship satisfied by an analytic function on a multiply connected region. These integral equations are uniquely solvable. The kernel involved in these integral equations is the adjoint generalized Neumann kernel.

Item Type:Conference or Workshop Item (Paper)
Additional Information:RADIS System Ref No:PB/2016/10602
Uncontrolled Keywords:conformal mapping, logarithmic spiral
Subjects:Q Science
Divisions:Science
ID Code:66893
Deposited By: Siti Nor Hashidah Zakaria
Deposited On:06 Jul 2017 14:20
Last Modified:26 Jul 2017 12:25

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