A semi-linear delayed diffusion-wave system with distributed order in time

Hendy, A. S.; De, Staelen, R. H.; Pimenov, V. G.

doi:10.1007/s11075-017-0344-7

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Поле DC	Значение	Язык
dc.contributor.author	Hendy, A. S.	en
dc.contributor.author	De, Staelen, R. H.	en
dc.contributor.author	Pimenov, V. G.	en
dc.date.accessioned	2024-04-17T17:43:41Z	-
dc.date.available	2024-04-17T17:43:41Z	-
dc.date.issued	2018	-
dc.identifier.citation	Hendy, A. S., De Staelen, R. H., & Pimenov, V. G. (2018). A semi-linear delayed diffusion-wave system with distributed order in time. Numerical Algorithms, 77(3), 885-903. https://doi.org/10.1007/s11075-017-0344-7	apa_pure
dc.identifier.issn	1017-1398	-
dc.identifier.other	Final	2
dc.identifier.other	All Open Access, Green	3
dc.identifier.other	https://biblio.ugent.be/publication/8520283/file/8551790	pdf
dc.identifier.uri	http://elar.urfu.ru/handle/10995/132217	-
dc.description.abstract	A numerical scheme for a class of non-linear distributed order fractional diffusion-wave equations with fixed time-delay is considered. The focus lies on the derivation of a linearized compact difference scheme as well as on quantitatively analyzing it. We prove unique solvability, convergence, and stability of the resulted numerical solution in L∞-norm by means of the discrete energy method. Numerical examples are introduced to illustrate the accuracy and efficiency of the proposed method. © 2017, Springer Science+Business Media New York.	en
dc.description.sponsorship	FWO15/PDO/076	en
dc.description.sponsorship	This work is partially done during the scientific stay of the first author at the Department of Mathematical Analysis, Ghent University. For the first and third author, this work was supported by Act 211 Government of the Russian Federation program 02.A03.21.0006 on 27.08.2013. The second author acknowledges the support of the Research Foundation - Flanders (FWO15/PDO/076).	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	Springer New York LLC	en
dc.rights	info:eu-repo/semantics/openAccess	en
dc.source	Numerical Algorithms	2
dc.source	Numerical Algorithms	en
dc.subject	CONVERGENCE	en
dc.subject	DELAYED PARTIAL DIFFERENTIAL EQUATIONS	en
dc.subject	DISCRETE ENERGY METHOD	en
dc.subject	DISTRIBUTED ORDER FRACTIONAL DIFFUSION-WAVE EQUATIONS	en
dc.subject	LINEAR DIFFERENCE SCHEME	en
dc.subject	STABILITY	en
dc.title	A semi-linear delayed diffusion-wave system with distributed order in time	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	info:eu-repo/semantics/publishedVersion	en
dc.identifier.doi	10.1007/s11075-017-0344-7	-
dc.identifier.scopus	85019245743	-
local.contributor.employee	Hendy, A.S., Department of Mathematics, Faculty of Science, Benha University, Benha, 13511, Egypt, Department of Computational Mathematics, Institute of Mathematics and Computer Science, Ural Federal University, Yekaterinburg, 620002, Russian Federation	en
local.contributor.employee	De Staelen, R.H., Department of Mathematical Analysis, Ghent University, Gent, 9000, Belgium	en
local.contributor.employee	Pimenov, V.G., Department of Computational Mathematics and Computer Science, Institute of Natural Sciences and Mathematics, Ural Branch of the RAS, Yekaterinburg, 620000, Russian Federation, Department of Computational Mathematics, Institute of Mathematics and Computer Science, Ural Federal University, Yekaterinburg, 620002, Russian Federation	en
local.description.firstpage	885	-
local.description.lastpage	903	-
local.issue	3	-
local.volume	77	-
dc.identifier.wos	000425616500012	-
local.contributor.department	Department of Mathematics, Faculty of Science, Benha University, Benha, 13511, Egypt	en
local.contributor.department	Department of Computational Mathematics and Computer Science, Institute of Natural Sciences and Mathematics, Ural Branch of the RAS, Yekaterinburg, 620000, Russian Federation	en
local.contributor.department	Department of Mathematical Analysis, Ghent University, Gent, 9000, Belgium	en
local.contributor.department	Department of Computational Mathematics, Institute of Mathematics and Computer Science, Ural Federal University, Yekaterinburg, 620002, Russian Federation	en
local.identifier.pure	6508920	-
local.identifier.eid	2-s2.0-85019245743	-
local.identifier.wos	WOS:000425616500012	-
Располагается в коллекциях:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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