Scholarly record
THE INVESTIGATION OF WATER QUALITY IN RIVERS BY USING MATHEMATICAL MODELLING
Abstract
A finite difference method for solving the initial boundary value problem for one dimensional nonlinear system equations for investigating the quality of water on the model of shallow water flow over on isolated ringe in a class of discontinuous functions is suggested. In order to develop the numerical algorithm the special auxiliary problem having some advantages over the main problem is introduced. The solution obtained from the auxiliary problem represents all physical nature of the investigated problem with a high accuracy.
Publication details
References9
Baklanovskaya, V.,F., Palsev ,B., V, Chechel ?.,?. On Boundary Problems of the St. Venant System Equations on Plane. Journal Comp. Mathematics and Mathematical Physics, Moscow, v. 19, No 3, pp. 708-725, 1979.
Houghton D.D., Kasahara A. Nonlinear Shallow Fluid Flow an Izolated Ringe. Comm. Pure Appi. Math., 21 (1968),pp 1-23.
Kudryashova, J.,N. A Numerical Method for Solving of the Problem of Convection Diffusion in Moving Fluids J. Engineering-physical, v. 31, Noi, pp. 105-110, Minsk, Russian, 1 976.
Rasulov, M. A. On a Method of Solving the Cauchy Problem for a First Order Nonlinear Equation of Hyperbolic Type with a Smooth Initial Condition. Soviet Math.Dok.43,No.l, 1991.
Rasulov, M. A. Finite Difference Scheme for Solving of Some Nonlinear Problems of Mathematical Physics in a Class of Discontinuous Functions. Baku, 1996, (in Russian).
Rasulov, ?. ?., Ragimova, T. A. A Numerical Method of the Solution of one Nonlinear Equation of a Hyperbolic Type of the First -Order. Dif. Equations, Minsk, Vol. 28, No.7, pp. 2056-2063, 1992.
Rasulov, M. A. A Numerical Method of Solving a Parabolic Equation with Degeneration. Dif. Equations, Minsk, Vol. 18, No.8, pp. 1418-1427, 1992.
Stoker,! J. Water Waves, Interscience Publisher. INC, New York, 1957.
Thesis of International institute of systems analysis. 1 , Moscow, 1974.
View or Download full articleAccess options
SWS access login
Login as SWS Scientific CommitteeLogin as SWS Scientific PartnerLogin as SWS AuthorAuthors and approved SWS contributors will read and export their own linked papers after identity matching by SWS profile, email and SGEM GlobalID.
For librarian assistance: [email protected]
Purchase Instant Access
- Article can be downloaded after successful payment.
- Article may be used according to SWS library access terms.
- Article cannot be redistributed.
