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

dc.authorid0000-0002-6655-3543en_US
dc.contributor.authorBulut, Fatih
dc.contributor.authorOruç, Ömer
dc.contributor.authorEsen, Alaattin
dc.date.accessioned2023-04-19T12:15:36Z
dc.date.available2023-04-19T12:15:36Z
dc.date.issued2022en_US
dc.departmentDicle Üniversitesi, Fen Fakültesi, Matematik Bölümüen_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.identifier.citationBulut, F., Oruç, Ö. ve Esen, A. (2022). Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation. Mathematics and Computer Simulation, 197, 277-290.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-s2.0-85125243855
dc.identifier.scopusqualityQ1
dc.identifier.startpage277en_US
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0378475422000593?via%3Dihub
dc.identifier.urihttps://hdl.handle.net/11468/11729
dc.identifier.volume197en_US
dc.identifier.wosWOS:000790399300013
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorOruç, Ömer
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofMathematics and Computer Simulation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_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.titleHigher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation
dc.typeArticleen_US

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