The paper contains the survey of benefits of using graphical processors for general purpose computations as a part of problem-solving environment in the beam physics studies. The comparison of testing numerical element-to-element modelling on CPU and the long-turn symbolic simulation with the general purpose GPUs in the working prototype is made. With the help of the graphical processors from both sides - the general purpose computations and the graphical units itself - the analysis of beam behaviour under the influence of the space charge is done.