Аннотация:
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.
Ключевые слова:
Dynamical systems, Cauchy problem, Approximate solution, Taylor formula, Accuracy of approximate solution, Level of accuracy, Error term
Реферативные базы данных:
Тип публикации:
Статья
Язык публикации: английский
Образец цитирования:
Abdugani Kh. Abdullaev, Abdulla A. Azamov, Marks B. Ruziboev, “An explicit estimate for approximate solutions of ODEs based on the Taylor formula”, Ural Math. J., 10:1 (2024), 18–27
\RBibitem{AbdAzaRuz24}
\by Abdugani~Kh.~Abdullaev, Abdulla~A.~Azamov, Marks~B.~Ruziboev
\paper An explicit estimate for approximate solutions of ODEs based on the Taylor formula
\jour Ural Math. J.
\yr 2024
\vol 10
\issue 1
\pages 18--27
\mathnet{http://mi.mathnet.ru/umj217}
\crossref{https://doi.org/10.15826/umj.2024.1.002}
\elib{https://elibrary.ru/item.asp?id=68586401}
\edn{https://elibrary.ru/GTYJOG}
Цитирование в формате AMSBIB
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