N. T. Orumbayeva, A. T. Assanova, A. B. Keldibekova, “On an algorithm of finding an approximate solution of a periodic problem for a third-order differential equation”, Eurasian Math. J., 2022, Volume 13, Number 1,Pages <nobr>69

This article is cited in 5 papers

On an algorithm of finding an approximate solution of a periodic problem for a third-order differential equation

N. T. Orumbayeva^a, A. T. Assanova^b, A. B. Keldibekova^a

^a Chair of Mathematical Analysis and Differential Equations, Buketov Karaganda University, 28 Universitetskaya St, 100028, Karaganda, Kazakhstan
^b Department of Differential Equations, Institute of Mathematics and Mathematical Modeling, 125 Pushkin St, 050010, Almaty, Kazakhstan

Abstract: In this paper, we study a periodic boundary value problem for a partial differential equation of the third order. An algorithm for finding a solution to this boundary value problem is proposed, and sufficient conditions for the convergence of the proposed algorithm are obtained.

Keywords and phrases: partial differential equation, third order boundary value problem, algorithm, approximate solution.

MSC: 34A30, 35Q92

Received: 02.08.2019

Language: English

DOI: 10.32523/2077-9879-2022-13-1-69-85