AN EXPLICIT ESTIMATE FOR APPROXIMATE SOLUTIONS OF ODES BASED ON THE TAYLOR FORMULA

Autor: Abdulla Kh. Abdullayev, Abdulla A. Azamov, Marks B. Ruziboev
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Ural Mathematical Journal, Vol 10, Iss 1 (2024)
Druh dokumentu: article
ISSN: 2414-3952
DOI: 10.15826/umj.2024.1.002
Popis: In this paper, we consider a third-order explicit scheme based on Taylor's formula to obtain an approximate solution for the Cauchy problem of systems of ODEs. We prove an estimate for the accuracy of the approximate solution with an explicit constant that depends only on the right-hand side of the equation and the domain of the solution.
Databáze: Directory of Open Access Journals