Differential equations for recovery of dependence from its harmonics

Title	Differential equations for recovery of dependence from its harmonics
Authors	N. D. Kuzmichev¹ ¹National Research Mordovian State University
Annotation	The article presents non-homogeneous differential equations used for restoring the derivative of the experimentally studied dependence from its first harmonic. Based on the differential equations of the 2nd and 4th orders, an example of dependence recovery is considered. The solution of the Cauchy problem was carried out numerically by the Runge-Kutta method of the fourth order of accuracy.
Keywords	recovery of the derivative dependence, Fourier harmonics, inhomogeneous differential equation, Cauchy problem, Runge-Kutta method
Citation	Kuzmichev N. D. ''Differential equations for recovery of dependence from its harmonics'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 109-115. Available at: https://conf.svmo.ru/files/2023/papers/paper16.pdf. - Date of access: 21.11.2024.