Muzaev, I. D.; Tuaeva, Zh. D. Two methods for solving an initial-boundary value problem for a system of Saint-Venant equations. (Russian) Zbl 1071.76504 Vladikavkaz. Mat. Zh. 1, No. 1, 43-47 (1999). Two methods for solving an initial-boundary problem connected with the motion of spring flood flows caused by intensive thawing and rains are proposed. For a linear problem (the first method), a solution is obtained explicitly. For a nonlinear problem (the second method), a diffusive approximation is used and the problem is solved by a finite difference method. Numerical experiments show admissibility of a simplified diffusive approximation to the calculation of spring flood flows of hydrological nature. Reviewer: V. Grebenev (Novosibirsk) Cited in 1 Document MSC: 76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing 76M20 Finite difference methods applied to problems in fluid mechanics 86A05 Hydrology, hydrography, oceanography Keywords:finite difference method; diffusive approximation PDFBibTeX XMLCite \textit{I. D. Muzaev} and \textit{Zh. D. Tuaeva}, Vladikavkaz. Mat. Zh. 1, No. 1, 43--47 (1999; Zbl 1071.76504) Full Text: EuDML Link