АНАЛІТИЧНИЙ МЕТОД ФОРМУВАННЯ ІНТЕГРОВАНИХ ДИНАМІЧНИХ МОДЕЛЕЙ ТА ЇХ ПРОГРАМНА РЕАЛІЗАЦІЯ
DOI:
https://doi.org/10.32626/2308-5916.2012-7.191-196Ключові слова:
dynamic models, equivalent forms, integral equations, numerical algorithms, computer implementation.Анотація
In represented work the integral method of dynamic objects simulation is considered. It is shown, that the offered method has a large generality and allows to decide on wide scientific fields of problems of mathematical simulation, which can be described with the integral equations. It is marked, that the offered approach allows to use new numerical algorithms, the number of traditional problems solving by means of computer aided simulation. The universal software for the solution of integral equations in MATLAB is developed.Посилання
Verlan A. F. Integral Equations: methods, algorithms, programs / A. F. Verlan, V. S. Sizikov. — K. : Naukova dumka,1986. — 544 p. (in Russian).
Verlan A. F. Mathematical simulation of continuous systems / A. F. Verlan, S. S. Moskalyuk. — K. : Naukova dumka, 1988. — 288 p. (in Russian).
Krasnov M. L. Integral Equations / M. L. Krasnov, A. I. Kiselev, G. I. Makarenko. — 2nd ed. — M. : Nauka 1976. — 216 p. (in Russian).
INTEGRAL EQUATIONS TOOLBOX — software package for a solution of integral equations in MATLAB. Institute of Simulation Problems in Power Engineering of National Science Academy of Ukraine / A. F. Verlan, D. E. Kontreras, S. V. Sizikov and other. — K., 1997. — 44 p. (in Russian).
Verlan A. F. INTEGRAL EQUATIONS TOOLBOX — programs set for solution of integral equations in MATLAB / A. F. Verlan, D. E. Kontreras, S. T. Tikhonchuk // Systemy Komputerowe i Sieci. Proektowanie, zastosowanie, eksploatacja, Material Midzynarodowej Konferencji Naukowej. — Rzeszow, 1997. — P. 263–269.
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