Makhovych O. Design and computer implementation of structurally simplified mathematical models of objects with distributed parameters

The object of the research: the processes of mathematical and computer modeling of objects with distributed parameters (ODP). The objective of the research is the development of methods and means of mathematical and computer modeling of ODP based on their construction and the use of their structural and simplified dynamic models that increase the efficiency of the processes of creation and functioning of technical information processing systems. Scientific novelty of the results is the following: 1) the interpolation method (method of basic sections) of formation by given the (original) differential equations with partial derivatives of structurally simplified dynamic models of ODP in the form of ordinary differential equations allowing the implementation of analytical transformations through programs of symbolic computations and providing the use of efficient numerical algorithms and software design was developed; 2) the methods of construction of simplified mathematical models of dynamics objects with distributed parameters in the form of ordinary differential equations, integral operators (explicit form of dynamic models) and transfer functions by the given basic model were significantly improved. The practical significance of the results is to develop methods and means of simplified models of the dynamics of the formation of ODP and to create the computer programs complex for their implementation. The results of the research are implemented in the industry and introduced in the educational process.