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Finite difference method for the semilinear integral-differential equation of the hyperbolic type

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dc.contributor.authorDirek, Zilal
dc.contributor.authorAshyraliyev, Maksat
dc.contributor.editorLukashov, A.
dc.contributor.editorAshyralyev, A.
dc.contributor.editorMalkowsky, E.
dc.contributor.editorBasar, F.
dc.contributor.editorMalkowsky, E.
dc.contributor.editorAshyralyev, A.
dc.contributor.institutionDirek, Zilal, Department of Mathematics, Fatih Üniversitesi, Istanbul, Turkey
dc.contributor.institutionAshyraliyev, Maksat, Department of Software Engineering, Bahçeşehir Üniversitesi, Istanbul, Turkey
dc.date.accessioned2025-10-05T16:30:24Z
dc.date.issued2015
dc.description.abstractIn this paper, the first and second order of accuracy difference schemes approximately solving the initial value problem for the semilinear integral-differential equation of the hyperbolic type in a Hilbert space are presented. The convergence estimates for the solutions of these difference schemes are obtained. © 2016 Elsevier B.V., All rights reserved.
dc.description.sponsorshipBadji Mokhtar Annaba University
dc.description.sponsorshipFatih University
dc.description.sponsorshipInstitute of Mathematics and Mathematical Modeling
dc.identifier.conferenceNameInternational Conference on Advancements in Mathematical Sciences, AMS 2015
dc.identifier.conferencePlaceAntalya
dc.identifier.doi10.1063/1.4930474
dc.identifier.issn0094243X
dc.identifier.issn15517616
dc.identifier.scopus2-s2.0-84984537332
dc.identifier.urihttps://doi.org/10.1063/1.4930474
dc.identifier.urihttps://hdl.handle.net/20.500.14719/12698
dc.identifier.volume1676
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc. subs@aip.org
dc.relation.sourceAIP Conference Proceedings
dc.subject.authorkeywordsConvergence
dc.subject.authorkeywordsFinite Difference Method
dc.subject.authorkeywordsSemilinear Integral-differential Equation
dc.titleFinite difference method for the semilinear integral-differential equation of the hyperbolic type
dc.typeConference Paper
dcterms.referencesPolyanin, Andrei D., HANDBOOK OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS for ENGINEERS and SCIENTISTS, pp. 1-781, (2001), Handbook of First Order Partial Differential Equations, (2025), Hyperbolic Partial Differential Equations, (2009), Ashyralyev, Allaberen, A note on the difference schemes of the nonlocal boundary value problems for hyperbolic equations, Numerical Functional Analysis and Optimization, 25, 5-6, pp. 439-462, (2004), Nat Soc, (2011), Ashyralyev, Allaberen, An operator-difference scheme for abstract Cauchy problems, Computers and Mathematics with Applications, 61, 7, pp. 1855-1872, (2011), Ashyralyev, Allaberen, Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations, Discrete Dynamics in Nature and Society, 2005, 2, pp. 183-213, (2005), Abstract and Applied Analysis, (2001), Advances in Difference Equations, (2014), Ashyralyev, Allaberen, On the solution of NBVP for multidimensional hyperbolic equations, Scientific World Journal, 2014, (2014)
dspace.entity.typePublication
local.indexed.atScopus
person.identifier.scopus-author-id55577296400
person.identifier.scopus-author-id23987071800

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