Numerical Solution of the Rosenau-KdV-RLW equation via combination of a polynomial scaling function collocation and finite difference method

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dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridOruc, Omer/0000-0002-6655-3543
dc.authoridbulut, fatih/0000-0001-6603-2468
dc.contributor.authorOruc, Omer
dc.contributor.authorEsen, Alaattin
dc.contributor.authorBulut, Fatih
dc.date.accessioned2025-02-22T14:09:09Z
dc.date.available2025-02-22T14:09:09Z
dc.date.issued2025
dc.departmentDicle Üniversitesien_US
dc.description.abstractIn this paper, we established a polynomial scaling method to investigate the numerical solution of Rosenau-Korteweg De Vries-regularized long wave (Rosenau-KdV-RLW) equation. We start with discretization of the time variable of the equation using a finite difference approach equipped with a linearization. After the time discretization, we have used polynomial scaling functions for the discretization of the spatial variable. These two discretizations give us the desired discrete system of equations to obtain numerical solutions. We further derive an error estimate for the proposed method. We have applied the proposed method to Rosenau-KdV, Rosenau-RLW, and Rosenau-KdV-RLW equations and used error norms to examine the accuracy and reliability of the presented method. Also, to enhance accuracy of the results, we utilize Richardson extrapolation. The comparisons with the analytical solution and earlier studies that use different methods indicate that the proposed method is accurate and reliable.en_US
dc.description.sponsorshipNo fund is received for this work. The authors would like to thank to anonymous reviewers for their precious time and suggestions toward improving the paper.en_US
dc.identifier.doi10.1002/mma.10531
dc.identifier.endpage4034en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85206812589en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage4015en_US
dc.identifier.urihttps://doi.org/10.1002/mma.10531
dc.identifier.urihttps://hdl.handle.net/11468/29816
dc.identifier.volume48en_US
dc.identifier.wosWOS:001334376900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in the Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250222
dc.subjectcollocationen_US
dc.subjectnumerical solutionen_US
dc.subjectpolynomial scaling methoden_US
dc.subjectRosenau KdV-RLWen_US
dc.titleNumerical Solution of the Rosenau-KdV-RLW equation via combination of a polynomial scaling function collocation and finite difference methoden_US
dc.typeArticleen_US

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