title: Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions.
abstract: This paper presents a boundary integral equation method with the adjoint generalized Neumann kernel for computing conformal mapping of unbounded multiply connected regions and its inverse onto several classes of canonical regions. For each canonical region, two integral equations are solved before one can approximate the boundary values of the mapping function. Cauchy's-type integrals are used for computing the mapping function and its inverse for interior points. This method also works for regions with piecewise smooth boundaries. Three examples are given to illustrate the effectiveness of the proposed method.
authors: Faculty of Science and Technology , Universiti Sains Islam Malaysia , 71800, Bandar Baru Nilai, Negeri Sembilan, Malaysia.
authors: A A M
authors: AA
authors: Yunus
authors: Department of Mathematical Sciences, Faculty of Science , Universiti Teknologi Malaysia , 81310 UTM Johor Bahru, Johor, Malaysia ; UTM Centre of Industrial and Applied Mathematics (UTM-CIAM) , Universiti Teknologi Malaysia , 81310 UTM Johor Bahru, Johor, Malaysia.
authors: A H M
authors: AH
authors: Murid
authors: Department of Mathematics, Faculty of Science , King Khalid University , PO Box 9004, Abha, Saudi Arabia ; Department of Mathematics, Faculty of Science , Ibb University , PO Box 70270, Ibb, Yemen.
authors: M M S
authors: MM
authors: Nasser
keywords: adjoint generalized Neumann kernel; numerical conformal mapping; unbounded multiply connected regions