A mixed method approach to the solitary wave, undular bore and boundary-forced solutions of the Regularized Long Wave equation

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dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254
dc.authoridBashan, Ali/0000-0001-8500-493X
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.authorwosidBashan, Ali/R-6644-2018
dc.contributor.authorBashan, Ali
dc.contributor.authorYagmurlu, N. Murat
dc.date.accessioned2024-08-04T20:51:55Z
dc.date.available2024-08-04T20:51:55Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe aim of the present work is to obtain numerical solutions of the solitary wave, undular bore and boundary-forced problems for Regularized Long Wave (RLW) equation. For this purpose, low-order modified cubic B-spline is chosen as base functions. Crank-Nicolson formulae combined with efficient space discretization method have been applied. With the aid of Rubin and Graves type linearization technique, nonlinear terms are linearized and a solvable linear equation system has been obtained. Three significant test problems in the literature are solved successfully. The present algorithm has obtained high accurate numerical solutions of the RLW equation. Numerical results are compared with those of some earlier ones and given. The rates of the convergence are also investigated.en_US
dc.identifier.doi10.1007/s40314-022-01882-7
dc.identifier.issn2238-3603
dc.identifier.issn1807-0302
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85129699753en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s40314-022-01882-7
dc.identifier.urihttps://hdl.handle.net/11616/100640
dc.identifier.volume41en_US
dc.identifier.wosWOS:000793167300002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofComputational & Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFinite difference methoden_US
dc.subjectDifferential quadrature methoden_US
dc.subjectRLW equationen_US
dc.subjectConvergenceen_US
dc.titleA mixed method approach to the solitary wave, undular bore and boundary-forced solutions of the Regularized Long Wave equationen_US
dc.typeArticleen_US

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