Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations

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dc.authorid0000-0002-6655-3543en_US
dc.contributor.authorOruç, Ömer
dc.date.accessioned2023-08-07T08:35:19Z
dc.date.available2023-08-07T08:35:19Z
dc.date.issued2023en_US
dc.departmentDicle Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this study, we focus on developing an efficient computational method for one-dimensional and two-dimensional nonlinear Rosenau equations. Suggested computational method in this study uses finite differences for discretization of time variable. For discretization of space variables, firstly unknown function with highest derivative which is appeared in the Rosenau equation is expanded to Chebyshev wavelets and then by successive integrations the unknown function itself is found in terms of truncated Chebyshev wavelets. Also, a linearization technique is applied to handle the nonlinearity. By doing so we obtain a linear system of equations for solving the Rosenau equation. We apply the suggested method to four test problems and compare obtained numerical solutions with exact solutions and with finite element method to assess how accurate are the numerical results. The obtained numerical results endorse the efficiency and practicality of the suggested method for both one-dimensional and two-dimensional nonlinear Rosenau equations.en_US
dc.identifier.citationOruç, Ö. (2023). Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations. Wave Motion, (118), 1-16.en_US
dc.identifier.doi10.1016/j.wavemoti.2022.103107
dc.identifier.endpage16en_US
dc.identifier.issn0165-2125
dc.identifier.issue118en_US
dc.identifier.scopus2-s2.0-85145976148
dc.identifier.scopusqualityQ1
dc.identifier.startpage1en_US
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85145976148
dc.identifier.urihttps://hdl.handle.net/11468/12442
dc.identifier.wosWOS:000923549100001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorOruç, Ömer
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofWave Motion
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTwo-dimensionalen_US
dc.subjectRosenau equationen_US
dc.subjectChebyshev waveletsen_US
dc.subjectNumerical solutionen_US
dc.subjectNonlinearityen_US
dc.titleIntegrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equationsen_US
dc.titleIntegrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations
dc.typeArticleen_US

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