Abstract

At the present stage of development of automation systems, there is an acute problem of fast information processing. Often this is difficult to do due to the imperfection of the mathematical apparatus and modern means of automation. Therefore, modern technical solutions need refinement. And technical devices in the appropriate technical support. The article synthesizes the law of temperature field distribution in an isotropic rod based on impulse transition functions - the Green function. Mathematical modeling of the obtained law was carried out on a hybrid supercomputer using NVidia CUDA technology. Based on the mathematical modeling, the conclusion is made about the possibility of optimizing the temperature regimes in the considered control system. Conclusions about the number of heating elements and the number of members of the Fourier series are made. The materials of the article underwent the procedure of introduction to industrial enterprises All obtained software systems have patents registered in the manner prescribed by law.

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