Rasulov M.Silahtaroglu G.2024-03-132024-03-1320061109-2769https://hdl.handle.net/20.500.12662/3237In this paper, a method for obtaining an exact solution and the location of the jump in the solution of the Cauchy problem for a first order partial differential equation which describes the traffic flow on highways is suggested. At first, a special auxiliary problem having some advantages over the main problem has been proposed and using the advantages of the auxiliary problem an original method for obtaining the weak solution of the main problem has been proposed. In order to show the effectiveness of the suggested method, on the basis of the real data some numerical experiments have been carried out.eninfo:eu-repo/semantics/closedAccessAuxiliary problemDifferences scheme in a class of discontinuous functionsExtended solutionTraffic flowArticle2-s2.0-33751571773134612Q413435