RT Journal Article ID 3dbe777d1ff39886 A1 Akimenko, Vitally V. A1 Yefimenko, Andrey A. T1 Numerical Method for Solving the Diffusive Lotke−Volterra Model with Discontinuous Coefficients for the Problem of Companies Competition JF Journal of Automation and Information Sciences JO JAI(S) YR 2012 FD 2012-04-25 VO 44 IS 4 SP 71 OP 80 K1 quasilinear parabolic equations of the Lotke–Volterra type K1 diffusive model K1 discontinuous coefficients K1 problem of company competition K1 explicit three-layered difference schemes K1 the maximum principle K1 integral interpolation method K1 testing examples K1 convergence AB 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. PB Begell House LK https://www.dl.begellhouse.com/journals/2b6239406278e43e,38e29c6744a28d0d,3dbe777d1ff39886.html