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Absolutely stable difference scheme for the delay partial differential equation with involution and Robin boundary condition

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dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorIbrahim, Suleiman
dc.contributor.authorHinçal, Evren
dc.contributor.institutionAshyralyev, Allaberen, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey
dc.contributor.institutionIbrahim, Suleiman, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, Cyprus
dc.contributor.institutionHinçal, Evren, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, Cyprus
dc.date.accessioned2025-10-05T14:53:21Z
dc.date.issued2024
dc.description.abstractThis paper examines the initial value problem for a third-order delay partial differential equation with involution and Robin boundary condition. We construct a first-order accurate difference scheme to obtain the numerical solution for this equation. Illustrative numerical results are provided. © 2024 Elsevier B.V., All rights reserved.
dc.identifier.doi10.31489/2024m3/55-65
dc.identifier.endpage65
dc.identifier.issn26635011
dc.identifier.issn25187929
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85206445087
dc.identifier.startpage55
dc.identifier.urihttps://doi.org/10.31489/2024m3/55-65
dc.identifier.urihttps://hdl.handle.net/20.500.14719/7473
dc.identifier.volume115
dc.language.isoen
dc.publisherE.A. Buketov Karaganda University Publish house
dc.relation.oastatusAll Open Access
dc.relation.oastatusGold Open Access
dc.relation.sourceBulletin of the Karaganda University. Mathematics Series
dc.subject.authorkeywordsDelay
dc.subject.authorkeywordsInvolution
dc.subject.authorkeywordsNumerical Algorithm
dc.subject.authorkeywordsRobin Boundary Condition
dc.subject.authorkeywordsThird Order Partial Differential Equations
dc.titleAbsolutely stable difference scheme for the delay partial differential equation with involution and Robin boundary condition
dc.typeArticle
dcterms.referencesAmirov, Sherif, Mixed boundary value problem for a class of strongly nonlinear Sobolev-type equations of higher order, Doklady Mathematics, 88, 1, pp. 446-448, (2013), Apakov, Yu P., On the solution of a boundary-value problem for a third-order equation with multiple characteristics, Ukrainian Mathematical Journal, 64, 1, pp. 1-12, (2012), Apakov, Yu P., Boundary-value problem for a degenerate high-odd-order equation, Ukrainian Mathematical Journal, 66, 10, pp. 1475-1490, (2015), Apakov, Yu P., On a boundary value problem to third order PDE with multiple characteristics, Nonlinear Analysis: Modelling and Control, 16, 3, pp. 255-269, (2011), Ashyralyev, Allaberen, A Stable Difference Scheme for a Third-Order Partial Differential Equation, Journal of Mathematical Sciences, 260, 4, pp. 399-417, (2022), Belakroum, Kheireddine, A note on the nonlocal boundary value problem for a third order partial differential equation, Filomat, 32, 3, pp. 801-808, (2018), Journal of Applied Mathematics and Physics, (2014), Latrous, Chahla, A three-point boundary value problem with an integral condition for a third-order partial differential equation, Abstract and Applied Analysis, 2005, 1, pp. 33-43, (2005), Niu, Jing, Numerical algorithm for the third-order partial differential equation with three-point boundary value problem, Abstract and Applied Analysis, 2014, (2014), Afuwape, Anthony Uyi, Stability and boundedness of solutions of a kind of third-order delay differential equations, Computational and Applied Mathematics, 29, 3, pp. 329-342, (2010)
dspace.entity.typePublication
local.indexed.atScopus
person.identifier.scopus-author-id6602401828
person.identifier.scopus-author-id57210539541
person.identifier.scopus-author-id26635282900

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