Rasulov M.Kilic V.Colkesen R.2024-03-132024-03-132008https://hdl.handle.net/20.500.12662/29088th International Scientific Conference on Modern Management of Mine Producing, Geology and Environmental Protection, SGEM 2008 -- 16 June 2008 through 20 June 2008 -- Albena -- 101476A 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.eninfo:eu-repo/semantics/closedAccessNonlinear wave propagationNumerical modelingShallow waterShock wavesWave pollutionConference Object2-s2.0-84890308093380N/A3732