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THE INVESTIGATION OF WATER QUALITY IN RIVERS BY USING MATHEMATICAL MODELLING

M. Rasulov, V. Kilic, R. Colkesen

First published: 2008DOI pendingView metrics

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

Title
THE INVESTIGATION OF WATER QUALITY IN RIVERS BY USING MATHEMATICAL MODELLING
Authors
M. Rasulov, V. Kilic, R. Colkesen
Proceedings
8th International Scientific Conference - SGEM2008
Publisher
SGEM Scientific GeoConference
Year
2008
Pages
373-380
SWS Citekey
Rasulov2008373380
ISSN
Not available yet
ISBN
954-91818-1-2
Language
en
Publication type
Conference Paper
Keywords
Ecology and Environmental Protectionnonlinear wave propagationnumerical modelingshallow watershock waveswave pollution
References9

  1. 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.

  2. Houghton D.D., Kasahara A. Nonlinear Shallow Fluid Flow an Izolated Ringe. Comm. Pure Appi. Math., 21 (1968),pp 1-23.

  3. 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.

  4. 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.

  5. 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).

  6. 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.

  7. Rasulov, M. A. A Numerical Method of Solving a Parabolic Equation with Degeneration. Dif. Equations, Minsk, Vol. 18, No.8, pp. 1418-1427, 1992.

  8. Stoker,! J. Water Waves, Interscience Publisher. INC, New York, 1957.

  9. Thesis of International institute of systems analysis. 1 , Moscow, 1974.

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