ON GOURSAT-DARBOUX BOUNDARY-VALUE PROBLEM FOR SYSTEMS OF NON-LINEAR DIFFERENTIAL EQUATIONS OF HYPERBOLIC TYPE
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Анотація
We construct the modification of the two-sided method with improved characteristics
of convergence for approximate integration of boundary-value problem for systems of secondorder
non-linear differential equations of the hyperbolic type on the plane when the bound of the
domain of the independent variables consists of the pair of characteristics.
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1787-2413
Ключові слова
partial differential equations, Goursat-Darboux boundary-value problem, two-sided method, approximations, задача Гурса Дарбу, ДРЧ, апроксимація
Бібліографічний опис
V. V. MARYNETS AND K. V. MARYNETS ON GOURSAT-DARBOUX BOUNDARY-VALUE PROBLEM FOR SYSTEMS OF NON-LINEAR DIFFERENTIAL EQUATIONS OF HYPERBOLIC TYPE // Miskolc Mathematical Notes. Vol. 14 (2013), No. 3, pp. 1009–1020