Strang time-splitting technique for the generalised Rosenau-RLW equation

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dc.authoridUÇAR, Yusuf/0000-0003-1469-5002
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.contributor.authorKutluay, Selcuk
dc.contributor.authorKarta, Melike
dc.contributor.authorUcar, Yusuf
dc.date.accessioned2024-08-04T20:50:35Z
dc.date.available2024-08-04T20:50:35Z
dc.date.issued2021
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, a numerical scheme based on quintic B-spline collocation method using the Strang splitting technique is presented for solving the generalised Rosenau-regularised long wave (RLW) equation given by appropriate initial-boundary values. For this purpose, firstly the problem is split into two subproblems such that each one includes the derivative in the direction of time. Secondly, each subproblem is reduced to a system of ordinary differential equations (ODEs) using collocation finite-element method with quintic B-splines for spatial integration. Then, the resulting ODEs for time integration are solved using the Strang time-splitting technique with the second order via the usual Runge-Kutta (RK-4) algorithm with the fourth order. To measure the accuracy and efficiency of the present scheme, a model problem with an exact solution is taken into consideration and investigated for various values of the parameter p. The error norms L2 and L infinity together with the invariants of discrete mass Q and discrete energy E have been computed and a comparison is given with other ones found in the literature. The convergence order of the present numerical scheme has also been computed. Furthermore, the stability analysis of the scheme is numerically examined.en_US
dc.identifier.doi10.1007/s12043-021-02182-1
dc.identifier.issn0304-4289
dc.identifier.issn0973-7111
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85113723015en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s12043-021-02182-1
dc.identifier.urihttps://hdl.handle.net/11616/100166
dc.identifier.volume95en_US
dc.identifier.wosWOS:000763475300003en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIndian Acad Sciencesen_US
dc.relation.ispartofPramana-Journal of Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRosenau-RLW equationen_US
dc.subjectStrang time-splittingen_US
dc.subjectquintic B-splinesen_US
dc.subjectcollocationen_US
dc.subjectRunge-Kuttaen_US
dc.subjectstability analysisen_US
dc.subject2en_US
dc.subject60en_US
dc.subjectJven_US
dc.subject12en_US
dc.subject10en_US
dc.subjectDmen_US
dc.subject98en_US
dc.subject80en_US
dc.subjectCqen_US
dc.subject11en_US
dc.subject30en_US
dc.subjectHven_US
dc.titleStrang time-splitting technique for the generalised Rosenau-RLW equationen_US
dc.typeArticleen_US

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