%0 Journal Article
%A Akimenko, Vitally V.
%A Yefimenko, Andrey A.
%D 2012
%I Begell House
%K quasilinear parabolic equations of the Lotkeâ€“Volterra type, diffusive model, discontinuous coefficients, problem of company competition, explicit three-layered difference schemes, the maximum principle, integral interpolation method, testing examples, convergence
%N 4
%P 71-80
%R 10.1615/JAutomatInfScien.v44.i4.80
%T Numerical Method for Solving the Diffusive Lotke−Volterra Model with Discontinuous Coefficients for the Problem of Companies Competition
%U http://dl.begellhouse.com/journals/2b6239406278e43e,38e29c6744a28d0d,3dbe777d1ff39886.html
%V 44
%X We consider the system of quasilinear parabolic equations of the Lotke−Volterra (diffusive model) with discontinuous coefficients for the problem of companies competition. Explicit three-layered difference schemes, which correspond to the maximum principle, were constructed with usage of the integral interpolation method. On testing examples for group with three competitive companies convergence of difference solutions by thickening grid method is shown.
%8 2012-04-25