A Fractional Analog of Crank–Nicholson Method for the Two Sided Space Fractional Partial Equation with Functional Delay

Pimenov, V. G.; Hendy, A. S.

doi:10.15826/umj.2016.1.005

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Поле DC	Значение	Язык
dc.contributor.author	Pimenov, V. G.	en
dc.contributor.author	Hendy, A. S.	en
dc.date.accessioned	2020-10-30T12:54:06Z	-
dc.date.available	2020-10-30T12:54:06Z	-
dc.date.issued	2016	-
dc.identifier.citation	Pimenov V. G. A Fractional Analog of Crank–Nicholson Method for the Two Sided Space Fractional Partial Equation with Functional Delay / V. G. Pimenov, A. S. Hendy. — DOI 10.15826/umj.2016.1.005. — Text : electronic // Ural Mathematical Journal. — 2016. — Volume 2. — № 1. — P. 48-57.	en
dc.identifier.issn	2414-3952	-
dc.identifier.uri	http://elar.urfu.ru/handle/10995/93112	-
dc.description.abstract	For two sided space fractional diffusion equation with time functional after-effect, an implicit numerical method is constructed and the order of its convergence is obtained. The method is a fractional analogue of the Crank–Nicholson method, and also uses interpolation and extrapolation of the prehistory of model with respect to time.	en
dc.description.sponsorship	This work was supported by Government of the Russian Federation program 02.A03.21.0006on 27.08.2013 and by Russian Science Foundation 14-35-00005.	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences	en
dc.publisher	Ural Federal University named after the first President of Russia B.N. Yeltsin	en
dc.relation	info:eu-repo/grantAgreement/RSF//14-35-00005	en
dc.relation.ispartof	Ural Mathematical Journal. 2016. Volume 2. № 1	en
dc.rights	Creative Commons Attribution License	en
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	-
dc.subject	FRACTIONAL PARTIAL DIFFERENTIAL EQUATION	en
dc.subject	GRUNWALD-LETNIKOV APPROXIMATIONS	en
dc.subject	GRID SCHEMES	en
dc.subject	FUNCTIONAL DELAY	en
dc.subject	INTERPOLATION	en
dc.subject	EXTRAPOLATION	en
dc.subject	CONVERGENCE ORDER	en
dc.title	A Fractional Analog of Crank–Nicholson Method for the Two Sided Space Fractional Partial Equation with Functional Delay	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	info:eu-repo/semantics/publishedVersion	en
dc.identifier.doi	10.15826/umj.2016.1.005	-
local.description.firstpage	48	-
local.description.lastpage	57	-
local.issue	1	-
local.volume	2	-
local.fund.rsf	14-35-00005	-
Располагается в коллекциях:	Ural Mathematical Journal

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