Numerical solutions of the MRLW equation by cubic B-spline Galerkin finite element method

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dc.contributor.author	Karakoç, Seydi Battal Gazi
dc.contributor.author	Uçar, Yusuf
dc.contributor.author	Yağmurlu, Nuri Murat
dc.date.accessioned	2021-09-29T05:55:57Z
dc.date.available	2021-09-29T05:55:57Z
dc.date.issued	2015
dc.identifier.uri	https://journalskuwait.migration.publicknowledgeproject.org/index.php/KJS/article/view/210
dc.identifier.uri	http://hdl.handle.net/20.500.11787/5339
dc.description.abstract	In this paper, a numerical solution of the modified regularized long wave (MRLW) equation has been obtained by a numerical technique based on a lumped Galerkin method using cubic B-spline finite elements. Solitary wave motion, interaction of two and three solitary waves have been studied to validate the proposed method. The three invariants ( 1 2 3 I ,I ,I ) of the motion have been calculated to determine the conservation properties of the scheme. Error norms L2 and L∞ have been used to measure the differences between the exact and numerical solutions. Also, a linear stability analysis of the scheme is proposed.	tr_TR
dc.language.iso	eng	tr_TR
dc.rights	info:eu-repo/semantics/restrictedAccess	tr_TR
dc.subject	MRLW equation	tr_TR
dc.subject	Cubic B-spline	tr_TR
dc.subject	Galerkin finite element method	tr_TR
dc.title	Numerical solutions of the MRLW equation by cubic B-spline Galerkin finite element method	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Kuwait journal of Science	tr_TR
dc.contributor.department	Nevşehir Hacı Bektaş Veli Üniversitesi/fen-edebiyat fakültesi/matematik bölümü/uygulamalı matematik anabilim dalı	tr_TR
dc.contributor.authorID	28727	tr_TR
dc.identifier.volume	42	tr_TR
dc.identifier.issue	2	tr_TR
dc.identifier.startpage	141	tr_TR
dc.identifier.endpage	159	tr_TR