Numerical solution of one distributed controllability problem in mathcad

The article proposes an algorithm for numerical solution of the problem of distributed controllability of the cooling process of a thin homogeneous rod with a thermally insulated side surface.The computer algebra system Mathcad 15 was used for modelling and visualization of the process. The possibilities and limitations arising at modelling of the problem solution in this system are studied. The modelling is carried out in two ways: using purely built-in tools of the environment, intended for solving partial derivative equations, as well as using built-in programming tools (such as loop operators, conditional transitions). In the latter case, the proposed numerical algorithms can be easily transferred to any "pure" programming language, which can be substantiated by the desire to obtain higher speed and accuracy of calculations.The key feature of this work is, in addition to obtaining the analytical solution of the problem, practical evaluations of the found functions and parameters, as well as carrying out numerical simulations.