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Solutions of potential problems using the reduction to Fredholm integral equations

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1 Author(s)
Caldwell, James ; Department of Mathematics and Computer Studies, Sunderland Polytechnic, Sunderland, England

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The numerical solution of potential problems using a method which reduces them to Fredholm integral equations of the first and second kinds is considered. The method is illustrated for potential problems of the Dirichlet type and solutions have been obtained for the case of a unit sphere. This method provides an alternative approach to the classical finite‐difference methods which have been widely used in the past. It overcomes some of the difficulties associated with the classical approach.

Published in:

Journal of Applied Physics  (Volume:51 ,  Issue: 11 )