Numerical methods for solving a hereditary equation of hyperbolic type / Pimenov V. G.,Tashirova E. E. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2013. - V. 281, l. 1. - P. S126-S136.

ISSN/EISSN:

0081-5438 / нет данных

Type:

Article

Abstract:

A family of grid methods is constructed for the numerical solution of a wave equation with delay of general form; the methods are based on the idea of separating the current state and the history function. A theorem on the order of convergence of the methods is obtained by means of embedding into a general difference scheme with aftereffect. Results of calculating test examples with constant and variable delays are presented.

Author keywords:

numerical methods; wave equation; delay; difference schemes; interpolation; extrapolation; order of convergence

DOI:

10.1134/S008154381305012X

Web of Science ID:

ISI:000320460300012

Соавторы в МНС:

Другие поля

Поле	Значение
Month	JUN
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	Vladimir.Pimenov@usu.ru Linetisa@yandex.ru
ResearcherID-Numbers	Pimenov, Vladimir/N-9894-2017
ORCID-Numbers	Pimenov, Vladimir/0000-0002-4042-6079
Funding-Acknowledgement	Russian Foundation for Basic Research {[}13-01-00089]
Funding-Text	This work was supported by the Russian Foundation for Basic Research (project no. 13-01-00089).
Number-of-Cited-References	6
Usage-Count-Last-180-days	6
Usage-Count-Since-2013	32
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	165CK