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Title: Modified finite-difference approximations near the singularitiy in the problem of motz
Authors: Crank, J
Furzeland, RM
Publication Date: 1976
Publisher: Brunel University
Citation: Maths Technical Papers (Brunel University). Mar 1976, pp 1-15
Abstract: A simple, modified finite-difference method is described for solving Laplace's equation with boundary singularities of the infinite derivative type. Modified approximations for the derivatives of the Laplacian equation are employed near the singularity. These are developed from a truncated series form of the local analytical solution. The method is applied to the problem of Motz. The numerical results compare favourably with those obtained by other techniques.
Appears in Collections:Mathematical Science
Dept of Mathematics Research Papers

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