Direct integration of systems of linear differential and difference equations

Autor:	Anarkul Urdaletova, Syrgak Kydyraliev
Rok vydání:	2019
Předmět:	General Mathematics ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION MathematicsofComputing_NUMERICALANALYSIS Applied mathematics Direct integration of a beam Differential (mathematics) Mathematics
Zdroj:	Filomat. 33:1453-1461
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil1905453k
Popis:	Traditionally the Euler method is used for solving systems of linear differential equations. The method is based on the use of eigenvalues of a system?s coefficients matrix. Another method to solve those systems is the D?Alembert integrable combination method. In this paper, we present a new method for solving systems of linear differential and difference equations. The main idea of the method is using the coefficients matrix eigenvalues to find integrable combinations of system variables. This method is particularly advantageous when nonhomogeneous systems are considered.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f3929d5fa324371c137c4ca24d688cef https://doi.org/10.2298/fil1905453k Zobrazit plný text záznamu