Analysis of difference approximations to delay pseudo-parabolic equations

Amiraliyev, Gabil M.; Kudu, Mustafa; Amirali, Ilhame

doi:10.1007/978-3-319-32857-7_16

Analysis of difference approximations to delay pseudo-parabolic equations

Özet

This work deals with the one-dimensional initial-boundary Sobolev or pseudo-parabolic problem with delay. For solving this problem numerically, we construct fourth-order difference-differential scheme and obtain the error estimate for its solution. Further, for the time variable, we use the appropriate Runge–Kutta method for the realization of our differential-difference problem. Numerical results supporting the theory are presented. © Springer International Publishing Switzerland 2016.

Anahtar Kelimeler

Delay difference scheme Error estimate Sobolev equation Difference equations Runge Kutta methods Difference approximation Difference schemes Differential scheme Error estimates Numerical results Parabolic problems Pseudo-parabolic equations Sobolev equations Problem solving

RDL Kalıcı Bağlantı (PID)

https://rdlopen.rawdatalibrary.net/r/ebyu/15369Resmi atıflarda kullanılan kalıcı adres

DOI

https://doi.org/10.1007/978-3-319-32857-7_16Yayıncı resmi DOI adresi

Tam Kayıt

Alan	Değer	Dil
dc.contributor.author	Amiraliyev, Gabil M.
dc.contributor.author	Kudu, Mustafa
dc.contributor.author	Amirali, Ilhame
dc.contributor.editor	P.E., Kloeden
dc.contributor.editor	Z., Došlá
dc.contributor.editor	O., Došlý
dc.contributor.editor	S., Pinelas
dc.date.accessioned	2026-10-18T20:30:11.303023033Z
dc.date.available	2026-10-18T20:30:11.303023033Z
dc.date.issued	2016
dc.description.abstract	This work deals with the one-dimensional initial-boundary Sobolev or pseudo-parabolic problem with delay. For solving this problem numerically, we construct fourth-order difference-differential scheme and obtain the error estimate for its solution. Further, for the time variable, we use the appropriate Runge–Kutta method for the realization of our differential-difference problem. Numerical results supporting the theory are presented. © Springer International Publishing Switzerland 2016.
dc.identifier.doi	10.1007/978-3-319-32857-7_16
dc.identifier.endpage	168
dc.identifier.isbn	978-331932855-3
dc.identifier.issn	2194-1009
dc.identifier.scopus	2-s2.0-84988714340
dc.identifier.startpage	159
dc.identifier.uri	https://rdlopen.rawdatalibrary.net/r/ebyu/15369
dc.identifier.volume	164
dc.identifier.wos	WOS:000391876600016
dc.language.iso	en
dc.publisher	Springer New York LLC
dc.relation.ispartof	Springer Proceedings in Mathematics and Statistics
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Delay difference scheme
dc.subject	Error estimate
dc.subject	Sobolev equation
dc.subject	Difference equations
dc.subject	Runge Kutta methods
dc.subject	Difference approximation
dc.subject	Difference schemes
dc.subject	Differential scheme
dc.subject	Error estimates
dc.subject	Numerical results
dc.subject	Parabolic problems
dc.subject	Pseudo-parabolic equations
dc.subject	Sobolev equations
dc.subject	Problem solving
dc.title	Analysis of difference approximations to delay pseudo-parabolic equations
dc.type	Conference Object
dspace.entity.type	Publication
rdl.citation.scopus	1
rdl.citation.wos	2
rdl.oa.status	green
rdl.source.index	SCOPUS
rdl.source.index	WOS
rdl.wos.index	Conference Proceedings Citation Index - Science (CPCI-S)