A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem

We present a uniquely solvable boundary integral equation with the generalized Neumann kernel for solving two-dimensional Laplace's equation on multiply connected regions with mixed boundary condition. Two numerical examples are presented to verify the accuracy of the proposed method.

Bibliographic Details
Main Authors: M.M.S., Nasser, A.H.M., Murid, S.A.A., Al-Hatemi
Format: Article
Published: 2012
Subjects:
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author M.M.S., Nasser
A.H.M., Murid
S.A.A., Al-Hatemi
author_facet M.M.S., Nasser
A.H.M., Murid
S.A.A., Al-Hatemi
author_sort M.M.S., Nasser
collection ePrints
description We present a uniquely solvable boundary integral equation with the generalized Neumann kernel for solving two-dimensional Laplace's equation on multiply connected regions with mixed boundary condition. Two numerical examples are presented to verify the accuracy of the proposed method.
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spelling utm.eprints-464692017-08-27T08:34:26Z http://eprints.utm.my/46469/ A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem M.M.S., Nasser A.H.M., Murid S.A.A., Al-Hatemi QA Mathematics We present a uniquely solvable boundary integral equation with the generalized Neumann kernel for solving two-dimensional Laplace's equation on multiply connected regions with mixed boundary condition. Two numerical examples are presented to verify the accuracy of the proposed method. 2012 Article PeerReviewed M.M.S., Nasser and A.H.M., Murid and S.A.A., Al-Hatemi (2012) A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem. Journal of Applied Mathematics . pp. 1-17. ISSN 1110-757X
spellingShingle QA Mathematics
M.M.S., Nasser
A.H.M., Murid
S.A.A., Al-Hatemi
A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem
title A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem
title_full A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem
title_fullStr A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem
title_full_unstemmed A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem
title_short A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem
title_sort boundary integral equation with the generalized neumann kernel for a certain class of mixed boundary value problem
topic QA Mathematics
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AT saaalhatemi aboundaryintegralequationwiththegeneralizedneumannkernelforacertainclassofmixedboundaryvalueproblem
AT mmsnasser boundaryintegralequationwiththegeneralizedneumannkernelforacertainclassofmixedboundaryvalueproblem
AT ahmmurid boundaryintegralequationwiththegeneralizedneumannkernelforacertainclassofmixedboundaryvalueproblem
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