Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/103032
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dc.contributor.authorFilimonov, M. Y.en
dc.contributor.authorVaganova, N. A.en
dc.date.accessioned2021-08-31T15:07:03Z-
dc.date.available2021-08-31T15:07:03Z-
dc.date.issued2021-
dc.identifier.citationFilimonov M. Y. Application of series with recurrently calculated coefficients for solving initial-boundary value problems for nonlinear wave equations / M. Y. Filimonov, N. A. Vaganova. — DOI 10.1063/5.0041819 // AIP Conference Proceedings. — 2021. — Vol. 2333. — 120001.en
dc.identifier.isbn9780735440777-
dc.identifier.issn0094243X-
dc.identifier.otherFinal2
dc.identifier.otherAll Open Access, Bronze3
dc.identifier.otherhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85102742444&doi=10.1063%2f5.0041819&partnerID=40&md5=c31f9c9d0155d00c11bad0bf880c4088
dc.identifier.otherhttps://aip.scitation.org/doi/pdf/10.1063/5.0041819m
dc.identifier.urihttp://hdl.handle.net/10995/103032-
dc.description.abstractFor one class of nonlinear wave equations with a small parameter, an initial-boundary value problem with zero boundary conditions is considered. The solution of such a problem is constructed with using series with recurrently calculated coefficients in two ways. In the first case, the method of special series is considered, which is based on the choice of some functions (basic functions), by the powers of these functions the solution of the original problem is presented into a series with recurrently calculated coefficients. In the other case to represent solutions of the problem a combination of Fourier and small parameter methods is used. It is shown that both proposed constructions of series with recurrently calculated coefficients converge to the solution of the initial-boundary value problem on a finite time interval. © 2021 Author(s).en
dc.description.sponsorshipThe work was supported by Russian Foundation for Basic Research 19–07–00435.en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherAmerican Institute of Physics Inc.en
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceAIP Conf. Proc.2
dc.sourceAIP Conference Proceedingsen
dc.titleApplication of series with recurrently calculated coefficients for solving initial-boundary value problems for nonlinear wave equationsen
dc.typeConference Paperen
dc.typeinfo:eu-repo/semantics/conferenceObjecten
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.1063/5.0041819-
dc.identifier.scopus85102742444-
local.contributor.employeeFilimonov, M.Y., Ural Federal University, Yekaterinburg, Russian Federation, Krasovskii Institute of Mathematics and Mechanics, Yekaterinburg, Russian Federation
local.contributor.employeeVaganova, N.A., Ural Federal University, Yekaterinburg, Russian Federation, Krasovskii Institute of Mathematics and Mechanics, Yekaterinburg, Russian Federation
local.volume2333-
local.contributor.departmentUral Federal University, Yekaterinburg, Russian Federation
local.contributor.departmentKrasovskii Institute of Mathematics and Mechanics, Yekaterinburg, Russian Federation
local.identifier.pure21043566-
local.identifier.pured10f8a3f-0ad1-4792-9c56-3dd3ef534028uuid
local.description.order120001-
local.identifier.eid2-s2.0-85102742444-
local.fund.rffi19-07-00435-
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