Numerical solution of the anisotropic model of traffic flow problems in a class of discontinuous functions

Numerical Solution of the Anisotropic Model of Traffic Flow Problems in a Class of Discontinuous Functions In the first section of this thesis for obtaing the numerical the nonlineer partial equation which describe the motion of on highway in a class of diseontinnous function the original method is suggested. In the first section of this thesis the original method for obtaning the numerical method in a class of diseontinnous nonlineer partial equation which describe of motion of vehicle on highway is suggested. For this, at first on the basis of the microscopik modell the dynamical behaviour of motion is investigated and for finding of the exact solution the auxiliary problem is praposed. Using of advantagies the exact solution of the main problem is constructed. Besides, using of the auxiliary problem a new algorithm for finding of a numerical solution is suggested. In the second section the some important notions of the theory of 1.order partical system of egnaons are investigated. Finally, in there section according into consendration of reflecs of drivers the system of differention equations which deserebe of the motion consedered. For this system the chracteristics and Riemann's invaryants ar found. The numerical algorithms for numerical solution in a class of discotinuoun functions is also developed.