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

Nasser, Mohamed M. S., (2007) Boundary Integral Equations with the Generalized Neumann Kernel for the Neumann Problem. Matematika, 23 (2). pp. 83-98. ISSN 01278274

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Affiliations

Ibb University, Yemen, Faculty of Science, Dept. of Mathematics

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.

Item Type:Journal
Keywords:Neumann problem, Fredholm integral equation, Generalized Neumann kernel.
Subjects:Q Science, Computer Science
ID Code:5473

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[11] R. Wegmann & M.M.S. Nasser, The Riemann-Hilbert problem and the generalized Neumann kernel on multiply connected regions, to appear in J. Comp. Appl. Math.

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