Numerical Evaluation of Conformal Mapping and its Inverse for Unbounded Multiply Connected Regions
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 1
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TA boundary integral equation method for numerical evaluation of the conformal mapping and its inverse from unbounded multiply connected regions onto five canonical slit regions is presented in this paper. This method is based on a uniquely solvable boundary integral equation with the adjoint generalized Neumann kernel. This method is accurate and reliable. Some numerical examples are presented to illustrate the effectiveness of this method.
Classification :
30C30, 30E25, 65E05
Arif A. M. Yunus; Ali H. M. Murid; Mohamed M. S. Nasser. Numerical Evaluation of Conformal Mapping and its Inverse for Unbounded Multiply Connected Regions. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2014_37_1_a0/
@article{BMMS_2014_37_1_a0,
author = {Arif A. M. Yunus and Ali H. M. Murid and Mohamed M. S. Nasser},
title = {Numerical {Evaluation} of {Conformal} {Mapping} and its {Inverse} for {Unbounded} {Multiply} {Connected} {Regions}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2014},
volume = {37},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_1_a0/}
}
TY - JOUR AU - Arif A. M. Yunus AU - Ali H. M. Murid AU - Mohamed M. S. Nasser TI - Numerical Evaluation of Conformal Mapping and its Inverse for Unbounded Multiply Connected Regions JO - Bulletin of the Malaysian Mathematical Society PY - 2014 VL - 37 IS - 1 UR - http://geodesic.mathdoc.fr/item/BMMS_2014_37_1_a0/ ID - BMMS_2014_37_1_a0 ER -
%0 Journal Article %A Arif A. M. Yunus %A Ali H. M. Murid %A Mohamed M. S. Nasser %T Numerical Evaluation of Conformal Mapping and its Inverse for Unbounded Multiply Connected Regions %J Bulletin of the Malaysian Mathematical Society %D 2014 %V 37 %N 1 %U http://geodesic.mathdoc.fr/item/BMMS_2014_37_1_a0/ %F BMMS_2014_37_1_a0