Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation

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dc.authoridBulut, Fatih/0000-0001-6603-2468
dc.authoridOruç, Ömer/0000-0002-6655-3543
dc.authorwosidBulut, Fatih/F-7201-2013
dc.authorwosidOruç, Ömer/R-2813-2019
dc.contributor.authorBulut, Fatih
dc.contributor.authorOruc, Oemer
dc.contributor.authorEsen, Alaattin
dc.date.accessioned2024-08-04T20:51:44Z
dc.date.available2024-08-04T20:51:44Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, we are going to utilize newly developed Higher Order Haar wavelet method (HOHWM) and classical Haar wavelet method (HWM) to numerically solve the Regularized Long Wave (RLW) equation. Spatial variable of the RLW equation is treated with HOHWM and HWM separately. On the other hand temporal variable is discretized by finite differences combined with Strang splitting approach. The presented methods applied to three different test problems and the obtained results are given in tables as well as depicted in figures. The obtained results are compared with analytical results wherever they exist. The error norms L-2 and L-infinity and invariants I-1, I-2 and I-3 are used to show the accuracy of the methods when comparing the present results with those in the literature. (C)& nbsp;2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.en_US
dc.description.sponsorshipInonu University Scientific Research Projects Unit, Turkey [FBA-2021-2564]en_US
dc.description.sponsorshipThis work was supported by Inonu University Scientific Research Projects Unit, Turkey with contract number of FBA-2021-2564.en_US
dc.identifier.doi10.1016/j.matcom.2022.02.006
dc.identifier.endpage290en_US
dc.identifier.issn0378-4754
dc.identifier.issn1872-7166
dc.identifier.scopus2-s2.0-85125243855en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage277en_US
dc.identifier.urihttps://doi.org/10.1016/j.matcom.2022.02.006
dc.identifier.urihttps://hdl.handle.net/11616/100501
dc.identifier.volume197en_US
dc.identifier.wosWOS:000790399300013en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofMathematics and Computers in Simulationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHigher Order Haar wavelet methoden_US
dc.subjectHaar wavelet methoden_US
dc.subjectStrang splittingen_US
dc.subjectRegularized long wave equationen_US
dc.titleHigher order Haar wavelet method integrated with strang splitting for solving regularized long wave equationen_US
dc.typeArticleen_US

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