Tikhokhod V. Programmed means of research of multiconnected dynamic system described by integral equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U003582

Applicant for

Specialization

  • 01.05.03 - Математичне та програмне забезпечення обчислювальних машин і систем

24-06-2009

Specialized Academic Board

К 26.185.02

Essay

The dissertation is devoted to the creation of algorithmic foundation and application software for analysis of the multiconnected dynamic objects that are described by systems of Volterra integral equations. On the base of features of the integral models and their numerical implementation methods the number of algorithms of solutions of the systems of linear and nonlinear Volterra integral equations of I and II kinds, that take into account of the wide range of requirements for accuracy of the obtained solutions; provide the effective computer implementation at using the different numerical methods, are developed. The effectiveness of algorithms has been verificated at solving the some test and applied examples. On the base of the proposed algorithms the application software for investigating the wide class of dynamic objects is developed in Matlab software environment.

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