Highly accurate numerical scheme based on polynomial scaling functions for equal width equation

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dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridBulut, Fatih/0000-0001-6603-2468
dc.authoridOruç, Ömer/0000-0002-6655-3543
dc.authorwosidEsen, Alaattin/F-2415-2016
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidBulut, Fatih/F-7201-2013
dc.authorwosidOruç, Ömer/R-2813-2019
dc.contributor.authorOruc, Omer
dc.contributor.authorEsen, Alaattin
dc.contributor.authorBulut, Fatih
dc.date.accessioned2024-08-04T20:50:19Z
dc.date.available2024-08-04T20:50:19Z
dc.date.issued2021
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper we established a numerical method for Equal Width (EW) Equation using Polynomial Scaling Functions. The EW equation is a simpler alternative to well known Korteweg de Vries (KdV) and regularized long wave (RLW) equations which have many applications in nonlinear wave phenomena. According to Polynomial scaling method, algebraic polynomials are used to get the orthogonality between the wavelets and corresponding scaling functions with respect to the Chebyshev weight. First we introduce polynomial scaling functions, how are the functions are approximated according to these and Operational matrix of derivatives are given. For time discretization of the function we use finite difference method with Rubin Graves linearization and polynomial scaling functions are used for the space discretization. The method is applied to four different problem and the obtained results are compared with the results in the literature and with the exact results to give the efficiency of the method. (C) 2021 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.wavemoti.2021.102760
dc.identifier.issn0165-2125
dc.identifier.issn1878-433X
dc.identifier.scopus2-s2.0-85108082322en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1016/j.wavemoti.2021.102760
dc.identifier.urihttps://hdl.handle.net/11616/99990
dc.identifier.volume105en_US
dc.identifier.wosWOS:000659480800013en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofWave Motionen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPolynomial scalingen_US
dc.subjectEW equationen_US
dc.subjectSolitary waveen_US
dc.subjectInteractionen_US
dc.titleHighly accurate numerical scheme based on polynomial scaling functions for equal width equationen_US
dc.typeArticleen_US

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