Convergence of the alternating direction method for the numerical solution of a heat conduction equation with delay / Lekomtsev A. V.,Pimenov V. G. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2011. - V. 272, l. 1. - P. 101-118.

ISSN/EISSN:

0081-5438 / нет данных

Type:

Article

Abstract:

Two-dimensional parabolic equations with delay effects in the time component are considered. An alternating direction scheme is constructed for the numerical solution of these equations. The question on the reduction of a problem with inhomogeneous boundary conditions to a problem with homogeneous boundary conditions is considered. The order of approximation error for the alternating direction scheme, stability, and convergence order are investigated.

Author keywords:

parabolic equations; delay; alternating direction method

DOI:

10.1134/S0081543811020088

Web of Science ID:

ISI:000289527400008

Соавторы в МНС:

Другие поля

Поле	Значение
Month	APR
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	lekom@olympus.ru vladimir.pimenov@usu.ru
ResearcherID-Numbers	Pimenov, Vladimir/N-9894-2017
ORCID-Numbers	Pimenov, Vladimir/0000-0002-4042-6079
Funding-Acknowledgement	Russian Foundation for Basic Research {[}08-01-00141]; Presidium of the Russian Academy of Sciences
Funding-Text	This work was supported by the Russian Foundation for Basic Research (project no. 08-01-00141) and by the Program ``Fundamental Science for Medicine{''} of the Presidium of the Russian Academy of Sciences.
Number-of-Cited-References	9
Usage-Count-Last-180-days	6
Usage-Count-Since-2013	41
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	750EJ