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Title: The treatment of boundary singularities in axially symmetric problems containing discs
Authors: Crank, J
Furzeland, RM
Issue Date: 1976
Publisher: Brunel University
Citation: Maths Technical Papers (Brunel University). May 1976, pp 1-25
Abstract: Axially symmetric problems (e.g. Laplace's equation in cylindrical co-ordinates) containing discs possess boundary singularities arising from the mixed boundary conditions that occur across the disc edge. A modified finite-difference method is presented which effectively eliminates the inaccuracies that occur in the standard numerical solution near such singularities. Techniques for developing the analytical forms of such singularities are given and modified finite-difference approximations are obtained. The steady-state diffusion of oxygen around a circular electrode is taken as the model problem and a modified quadrature method is presented for the calculation of the oxygen flux through the electrode.
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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