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A numerical solution of a two-dimensional transport equation
Authors:Olga Martin
Institution:(1) Department of Mathematics, University “Politehnica” of Bucharest, Splaiul Independentei 313, Bucharest 16, Romania
Abstract:In this paper we present a variational method for approximating solutions of the Dirichlet problem for the neutron transport equation in the stationary case. Error estimates from numerical examples are used to evaluate an approximation of the solution with respect to the steps of two grids.
Keywords:transport equation                      variational calculus                      difference scheme                      Euler-Lagrange equation
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