Title of article :
Annulus with Circular Slit Map of Bounded Multiply Connected Regions via Integral Equation Method
Author/Authors :
SANGAWI, ALI W. K. University of Sulaimani - College of Science - Department of Mathematics, Iraq , SANGAWI, ALI W. K. Universiti Teknologi Malaysia - Ibnu Sina Institute for Fundamental Science Studies, Faculty of Science - Department of Mathematics, Malaysia , MURID, ALI H. M. Universiti Teknologi Malaysia - Ibnu Sina Institute for Fundamental Science Studies, Faculty of Science - Department of Mathematics, Malaysia , NASSER, M. M. S. Ibb University - Faculty of Science - Department of Mathematics, Yemen , NASSER, M. M. S. King Khalid University - Faculty of Science - Department of Mathematics, Saudi Arabia
Abstract :
This paper presents a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto an annulus with circular slits. The method is based on some uniquely solvable linear integral equations with classical, adjoint and generalized Neumann kernels. These boundary integral equations are constructed from a boundary relationship that relates the mapping function f on a multiply connected region with f′, θ′, and |f|, where θ is the boundary correspondence function. Some numerical examples are presented to illustrate the efficiency of the presented method.
Keywords :
Numerical conformal mapping , boundary integral equations , Neumann kernel , generalized Neumann kernel , multiply connected regions
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
