Circular Slits Map of Bounded Multiply Connected Regions | Zendy

Ali W. K. Sangawi | Zendy; Ali H. M. Murid | Zendy; Mohamed M. S. Nasser | Zendy

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Circular Slits Map of Bounded Multiply Connected Regions

Author(s) -

Ali W. K. Sangawi,

Ali H. M. Murid,

Mohamed M. S. Nasser

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/970928

Subject(s) - mathematics , bounded function , conformal map , boundary (topology) , mathematical analysis , integral equation , function (biology) , neumann boundary condition , boundary value problem , evolutionary biology , biology

We present a boundary integral equation method forthe numerical conformal mapping of bounded multiply connected regiononto a circular slit region. The method is based on some uniquelysolvable boundary integral equations with adjoint classical, adjointgeneralized, and modified Neumann kernels. These boundary integralequations are constructed from a boundary relationship satisfied bya function analytic on a multiply connected region. Some numericalexamples are presented to illustrate the efficiency of the presentedmethod

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