Boundary Integral Equations with the Generalized Neumann Kernel for the Neumann Problem

Authors

  • Mohamed M. S. Nasser

DOI:

https://doi.org/10.11113/matematika.v23.n.525

Abstract

This paper presents a new method to solve the interior and the exterior Neumann problems in simply connected regions with smooth boundaries. The method is based on two uniquely solvable Fredholm integral equations of the second kind with the generalized Neumann kernel. Numerical examples reveal that the present method offers an effective numerical method for the Neumann problems when the boundaries are sufficiently smooth. Keywords: Neumann problem; Fredholm integral equation; Generalized Neumann kernel.

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Published

01-12-2007

Issue

Volume 23 (December 2007)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Boundary Integral Equations with the Generalized Neumann Kernel for the Neumann Problem. (2007). MATEMATIKA, 23, 83-98. https://doi.org/10.11113/matematika.v23.n.525