Gedif Tsegaye (PhD)Nigussie Tolesa2020-12-172023-11-042020-12-172023-11-042016-07-07http://etd.aau.edu.et/handle/123456789/24157This 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.enBoundary Integral EquationsLaplace EquationNumerical Solutions Using MatlabThesis