On the stable difference scheme for the time delay telegraph equation

Autor:	A. Ashyralyev, K. Turk, D. Agirseven
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	difference schemes delay telegraph equations stability Analysis QA299.6-433 Analytic mechanics QA801-939 Probabilities. Mathematical statistics QA273-280
Zdroj:	Қарағанды университетінің хабаршысы. Математика сериясы, Vol 99, Iss 3 (2020)
Druh dokumentu:	article
ISSN:	2518-7929 2663-5011 57382239
DOI:	10.31489/2020m3/105-119
Popis:	The stable difference scheme for the approximate solution of the initial boundary value problem for the telegraph equation with time delay in a Hilbert space is presented. The main theorem on stability of the difference scheme is established. In applications, stability estimates for the solution of difference schemes for the two type of the time delay telegraph equations are obtained. As a test problem, one-dimensional delay telegraph equation with nonlocal boundary conditions is considered. Numerical results are provided.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/accb892abf464feca573822397903509 Zobrazit plný text záznamu View record in DOAJ