Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/103032
Title: Application of series with recurrently calculated coefficients for solving initial-boundary value problems for nonlinear wave equations
Authors: Filimonov, M. Y.
Vaganova, N. A.
Issue Date: 2021
Publisher: American Institute of Physics Inc.
Citation: Filimonov 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.
Abstract: For 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).
URI: http://hdl.handle.net/10995/103032
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85102742444
PURE ID: 21043566
d10f8a3f-0ad1-4792-9c56-3dd3ef534028
ISSN: 0094243X
ISBN: 9780735440777
DOI: 10.1063/5.0041819
metadata.dc.description.sponsorship: The work was supported by Russian Foundation for Basic Research 19–07–00435.
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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