The article is dedicated to the mathematical modeling of a movement trajectory of an automobile wheel. The authors discuss a problem of the description of a wheel braking process and calculation of its parameters in real time. They analyze the efficiency of the most widespread numerical methods which are applied for this purpose and considered the conditions, necessary for carrying out of the numerical modeling process of braking of an automobile wheel in real time. They propose and analyze a new method of the numerical solution of the equations of movement of a wheel in a braking mode. It is based on adaptation of the system to the integration process. Adaptation is carried out by means of application of a variable step of integration. Integration with small and greater steps is applied for elimination of the instability of calculation. At the initial stage the integration is done by small steps in order to ensure stability of the solution. The further integration is done by greater steps in order to decrease the time for calculation and maintain the stability of the solution. It was demonstrated, that application of the proposed method allows us to reduce the total time necessary for calculation due to an increase of the integration step without a bigger error risk in the counted parameters. This method is most effective for calculation of the movement parameters of an automobile wheel, loaded by maximal brake moment, in the braking mode on the road surface of any kind and state.