Journal of Automation and Information Sciences
Publicado 12 números por año
ISSN Imprimir: 1064-2315
ISSN En Línea: 2163-9337
SJR:
0.173
SNIP:
0.588
CiteScore™::
2
Indexed in
Numerical Method for Solving the Diffusive Lotke−Volterra Model with Discontinuous Coefficients for the Problem of Companies Competition
Volumen 44,
Edición 4, 2012,
pp. 71-80
DOI: 10.1615/JAutomatInfScien.v44.i4.80
SINOPSIS
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.
PALABRAS CLAVE: quasilinear parabolic equations of the Lotke–Volterra type, diffusive model, discontinuous coefficients, problem of company competition, explicit three-layered difference schemes, the maximum principle, integral interpolation method, testing examples, convergence
CITADO POR
-
Akimenko V. V., Yefimenko A. A., Model of the optimal control of funds and competitiveness of the information-communication company, Cybernetics and Systems Analysis, 48, 5, 2012. Crossref
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Index, Volume 52, 2020