Numerical solution of linear pseudo-parabolic equation with time delay using three layer difference method

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dc.authoridAmirali, Ilhame/0000-0002-5103-8856en_US
dc.authorscopusid56082815700en_US
dc.authorscopusid6506398616en_US
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2024-08-23T16:04:56Z
dc.date.available2024-08-23T16:04:56Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we consider the one-dimensional initial-boundary problem for a pseudoparabolic equation with a time delay in the second spatial derivative. To solve this problem numerically, we construct a 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. Given numerical results illustrate the convergence and effectiveness of the numerical method. & COPY; 2023 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.cam.2023.115417
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.scopus2-s2.0-85164234813en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1016/j.cam.2023.115417
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14411
dc.identifier.volume436en_US
dc.identifier.wosWOS:001039668200001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofJournal of Computational and Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDelay pseudo-parabolic equationen_US
dc.subjectThree layer difference schemeen_US
dc.subjectError estimateen_US
dc.subjectpartial differential ten_US
dc.subjectSchemesen_US
dc.titleNumerical solution of linear pseudo-parabolic equation with time delay using three layer difference methoden_US
dc.typeArticleen_US

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