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On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes

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dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorYildirim, Ozgur
dc.contributor.institutionauthorYILDIRIM, Özgür
dc.date.accessioned2026-06-27T13:22:24Z
dc.date.issued2013
dc.description.abstractThe abstract Cauchy problem for the hyperbolic equation in a Hilbert space H with self-adjoint positive definite operator A is considered. The third and fourth orders of accuracy difference schemes for the approximate solution of this problem are presented. The stability estimates for the solutions of these difference schemes are established. A finite difference method and some results of numerical experiments are presented in order to support theoretical statements. MSC: 65J10, 65M12, 65N12, 35L30.en
dc.description.urihttps://doi.org/10.1186/1687-2770-2013-29
dc.identifier.doi10.1186/1687-2770-2013-29
dc.identifier.issn1687-2770
dc.identifier.urihttps://hdl.handle.net/20.500.14981/52329
dc.identifier.wos000316341900001
dc.language.isoeng
dc.publisherSPRINGER INTERNATIONAL PUBLISHING AG
dc.relation.ispartofBOUNDARY VALUE PROBLEMS
dc.rightsopenAccess
dc.subjectabstract hyperbolic equation
dc.subjectstability
dc.subjectinitial boundary value problem
dc.subjectEQUATIONS
dc.subjectACCURACY
dc.subjectMathematics
dc.titleOn the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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