Differential Equations

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Date

2016-07-07

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Addis Ababa University

Abstract

This paper considers the numerical solution of boundary integral equations of the sec- ond kind, for Laplace's equation _u = 0 on connected regions in R3 with bound- ary @. The boundary @ is allowed to be smooth or piecewise smooth; and we let f4kj1 _ k _ ng be a triangulation of @. The paper will focus on the derivation of the boundary integral equation (BIE) for the Laplace equation, and numerical results are presented for some examples using constant elements.

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Keywords

Boundary Integral Equations, Laplace Equation, Numerical Solutions Using Matlab

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