Different linearization techniques for the numerical solution of the MEW equation

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dc.contributor.authorKarakoç, S. Battal Gazi
dc.contributor.authorUçar, Yusuf
dc.contributor.authorYağmurlu, N. Murat
dc.date.accessioned2018-05-16T08:51:19Z
dc.date.available2018-05-16T08:51:19Z
dc.date.issued2012
dc.descriptionURL: http://sjam.selcuk.edu.tr/sjam/article/view/97en_US
dc.description.abstractThe modified equal width wave (MEW) equation is solved numerically by giving two different linearization techniques based on collocation finite element method in which cubic B-splines are used as approximate functions. To support our work three test problems; namely, the motion of a single solitary wave, interaction of two solitary waves and the birth of solitons are studied. Results are compared with other published numerical solutions available in the literature. Accuracy of the proposed method is discussed by computing the numerical conserved laws L2 and L? error norms. A linear stability analysis of the approximation obtained by the scheme shows that the method is unconditionally stableen_US
dc.identifier.citationKarakoç, S. B. G., Uçar, Y., Yağmurlu, N. M. (2012). Different linearization techniques for the numerical solution of the MEW equation. Selcuk Journal of Applied Mathematics, 13 (2), 43-62.en_US
dc.identifier.endpage62
dc.identifier.issn1302-7980en_US
dc.identifier.startpage43
dc.identifier.urihttps://hdl.handle.net/20.500.12395/10681
dc.identifier.volume13
dc.language.isoenen_US
dc.publisherSelcuk University Research Center of Applied Mathematicsen_US
dc.relation.ispartofSelcuk Journal of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Kategori Belirleneceken_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectFinite element methoden_US
dc.subjectCollocationen_US
dc.subjectMEW equationen_US
dc.subjectB-Splineen_US
dc.subjectSolitary wavesen_US
dc.subjectSonlu elemanlar yöntemien_US
dc.subjectEşdizimliliken_US
dc.subjectMEW denklemien_US
dc.subjectSoliter dalgalaren_US
dc.titleDifferent linearization techniques for the numerical solution of the MEW equationen_US
dc.typeArticleen_US

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