ANALYSIS OF HIGHER ORDER DIFFERENCE METHOD FOR A PSEUDO-PARABOLIC EQUATION WITH DELAY

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dc.contributor.authorAmirali, İlhame
dc.date.accessioned2020-04-30T22:39:20Z
dc.date.available2020-04-30T22:39:20Z
dc.date.issued2019
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS: 000504461100008en_US
dc.description.abstractIn this paper, the author considers the one dimensional initial-boundary problem for a pseudo-parabolic equation with time delay in second spatial derivative. To solve this problem numerically, the author constructs higher order difference method and obtain the error estimate for its solution. Based on the method of energy estimates the fully discrete scheme is shown to be convergent of order four in space and of order two in time. Some numerical examples illustrate the convergence and effectiveness of the numerical method.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [1059B191700821]en_US
dc.description.sponsorshipThis research was fully supported by Scientific and Technological Research Council of Turkey (TUBITAK) [grant number 1059B191700821]. The author would like to thank the Department of Mathematics of the University of Oklahoma for the hospitality during her work on the project, Nikola Petrov and Murad Ozaydin who were instrumental in arranging her stay in Oklahoma. Ilhame Amirali thanks Nikola Petrov for stimulating discussions.en_US
dc.identifier.doi10.18514/MMN.2019.2895en_US
dc.identifier.endpage766en_US
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage755en_US
dc.identifier.urihttps://doi.org/10.18514/MMN.2019.2895
dc.identifier.urihttps://hdl.handle.net/20.500.12684/2691
dc.identifier.volume20en_US
dc.identifier.wosWOS:000504461100008en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Miskolc Inst Mathen_US
dc.relation.ispartofMiskolc Mathematical Notesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectpseudo-parabolic equationen_US
dc.subjectdelay difference schemeen_US
dc.subjecterror estimateen_US
dc.titleANALYSIS OF HIGHER ORDER DIFFERENCE METHOD FOR A PSEUDO-PARABOLIC EQUATION WITH DELAYen_US
dc.typeArticleen_US

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