A novel perspective for simulations of the Modified Equal-Width Wave equation by cubic Hermite B-spline collocation method

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dc.authoridKarakaş, Ali Sercan/0000-0001-8622-1127
dc.authoridYAGMURLU, Nuri Murat/0000-0003-1593-0254
dc.authorwosidKarakaş, Ali Sercan/JNT-0053-2023
dc.authorwosidYAGMURLU, Nuri Murat/AAB-8514-2020
dc.contributor.authorKutluay, Selcuk
dc.contributor.authorYagmurlu, Nuri Murat
dc.contributor.authorKarakas, Ali Sercan
dc.date.accessioned2024-08-04T20:55:58Z
dc.date.available2024-08-04T20:55:58Z
dc.date.issued2024
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn the current study, the Modified Equal -Width (MEW) equation will be handled numerically by a novel technique using collocation finite element method where cubic Hermite B -splines are used as trial functions. To test the accuracy and efficiency of the method, four different experimental problems; namely, the motion of a single solitary wave, interaction of two solitary waves, interaction of three solitary waves and the birth of solitons with the Maxwellian initial condition will be investigated. In order to verify, the validity and reliability of the proposed method, the newly obtained error norms L 2 and L infinity as well as three conservation constants have been compared with some of the other numerical results given in the literature at the same parameters. Furthermore, some wave profiles of the newly obtained numerical results have been given to demonstrate that each test problem exhibits accurate physical simulations. The advantage of the proposed method over other methods is the usage of inner points at Legendre and Chebyshev polynomial roots. This advantage results in better accuracy with less number of elements in spatial direction. The results of the numerical experiments clearly reveal that the presented scheme produces more accurate results even with comparatively coarser grids.en_US
dc.identifier.doi10.1016/j.wavemoti.2024.103342
dc.identifier.issn0165-2125
dc.identifier.issn1878-433X
dc.identifier.scopus2-s2.0-85192449722en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1016/j.wavemoti.2024.103342
dc.identifier.urihttps://hdl.handle.net/11616/101975
dc.identifier.volume129en_US
dc.identifier.wosWOS:001240703200001en_US
dc.identifier.wosqualityN/Aen_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.subjectModified Equal-Width Wave equationen_US
dc.subjectCollocation methoden_US
dc.subjectCubic Hermite B-splinesen_US
dc.subjectSolitary wavesen_US
dc.subjectLegendre and Chebyshev shifted rootsen_US
dc.titleA novel perspective for simulations of the Modified Equal-Width Wave equation by cubic Hermite B-spline collocation methoden_US
dc.typeArticleen_US

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