First order partial differential equations with time delay and retardation of a state variable

Solodushkin, S. I.; Yumanova, I. F.; De, Staelen, R. H.

doi:10.1016/j.cam.2014.12.032

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Поле DC	Значение	Язык
dc.contributor.author	Solodushkin, S. I.	en
dc.contributor.author	Yumanova, I. F.	en
dc.contributor.author	De, Staelen, R. H.	en
dc.date.accessioned	2020-10-20T16:35:47Z	-
dc.date.available	2020-10-20T16:35:47Z	-
dc.date.issued	2015	-
dc.identifier.citation	Solodushkin S. I. First order partial differential equations with time delay and retardation of a state variable / S. I. Solodushkin, I. F. Yumanova,. — DOI 10.1016/j.cam.2014.12.032 // Journal of Computational and Applied Mathematics. — 2015. — Iss. 289. — P. 322-330.	en
dc.identifier.issn	0377-0427	-
dc.identifier.other	https://doi.org/10.1016/j.cam.2014.12.032	pdf
dc.identifier.other	1	good_DOI
dc.identifier.other	78bcb062-2ee6-48ba-943f-2e231b111f4f	pure_uuid
dc.identifier.other	http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=84930380670	m
dc.identifier.uri	http://elar.urfu.ru/handle/10995/92442	-
dc.description.abstract	We construct a finite difference scheme for the numerical solution of a first order partial differential equation with a time delay and retardation of a state variable. Such equations are used to model the dynamics of structured cell populations when age and maturity level are taken into account. For the supplied difference schemes the order of approximation, stability and convergence order are studied. We illustrate the obtained results with a test example. © 2015 Elsevier B.V. All rights reserved.	en
dc.description.sponsorship	Russian Foundation for Basic Research, RFBR: 13-01-00089, 14-01-00065	en
dc.description.sponsorship	This research is supported by RFBR 14-01-00065 and 13-01-00089 . We acknowledge the support by the program 02.A03.21.0006 on 27.08.2013.	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	Elsevier	en
dc.rights	info:eu-repo/semantics/openAccess	en
dc.source	Journal of Computational and Applied Mathematics	en
dc.subject	DIFFERENCE SCHEME	en
dc.subject	PARTIAL DELAY DIFFERENTIAL EQUATION	en
dc.subject	RETARDATION	en
dc.subject	TIME DELAY	en
dc.subject	CELL CULTURE	en
dc.subject	CELL PROLIFERATION	en
dc.subject	CYTOLOGY	en
dc.subject	DIFFERENTIAL EQUATIONS	en
dc.subject	FINITE DIFFERENCE METHOD	en
dc.subject	PARTIAL DIFFERENTIAL EQUATIONS	en
dc.subject	CELL POPULATIONS	en
dc.subject	DELAY DIFFERENTIAL EQUATIONS	en
dc.subject	DIFFERENCE SCHEMES	en
dc.subject	FINITE DIFFERENCE SCHEME	en
dc.subject	FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS	en
dc.subject	NUMERICAL SOLUTION	en
dc.subject	RETARDATION	en
dc.subject	STABILITY AND CONVERGENCE	en
dc.subject	TIME DELAY	en
dc.title	First order partial differential equations with time delay and retardation of a state variable	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	info:eu-repo/semantics/publishedVersion	en
dc.identifier.doi	10.1016/j.cam.2014.12.032	-
dc.identifier.scopus	84930380670	-
local.affiliation	Institute of Mathematics and Computer Science, Ural Federal University, Russian Federation
local.affiliation	Institute of Mathematics and Mechanics, Ural Branch of the RAS, Russian Federation
local.affiliation	Department of Mathematical Analysis, Ghent University, Belgium
local.contributor.employee	Solodushkin, S.I., Institute of Mathematics and Computer Science, Ural Federal University, Russian Federation, Institute of Mathematics and Mechanics, Ural Branch of the RAS, Russian Federation
local.contributor.employee	Yumanova, I.F., Institute of Mathematics and Computer Science, Ural Federal University, Russian Federation
local.contributor.employee	De Staelen, R.H., Department of Mathematical Analysis, Ghent University, Belgium
local.description.firstpage	322	-
local.description.lastpage	330	-
local.issue	289	-
dc.identifier.wos	000356733900023	-
local.identifier.pure	340322	-
local.identifier.eid	2-s2.0-84930380670	-
local.fund.rffi	13-01-00089	-
local.fund.rffi	14-01-00065	-
local.identifier.wos	WOS:000356733900023	-
Располагается в коллекциях:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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