Petrov galerkin method with cubic B splines for solving the MEW equation

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dc.contributor.author Geyikli, Turabi
dc.contributor.author Karakoç, Seydi Battal Gazi
dc.date.accessioned 2021-10-04T12:10:48Z
dc.date.available 2021-10-04T12:10:48Z
dc.date.issued 2012
dc.identifier.uri https://projecteuclid.org/journals/bulletin-of-the-belgian-mathematical-society-simon-stevin/volume-19/issue-2/Petrov-Galerkin-method-with-cubic-B-splines-for-solving-the/10.36045/bbms/1337864268.full
dc.identifier.uri http://hdl.handle.net/20.500.11787/5468
dc.description.abstract In the present paper, we introduce a numerical solution algorithm based on a Petrov-Galerkin method in which the element shape functions are cubic B-splines and the weight functions quadratic B-splines . The motion of a single solitarywave and interaction of two solitarywaves are studied. Accuracy and efficiency of the proposed method are discussed by computing the numerical conserved laws and L2 , L¥ error norms. The obtained results show that the present method is a remarkably successful numerical technique for solving the modified equal width wave(MEW) equation. A linear stability analysis of the scheme shows that it is unconditionally stable. tr_TR
dc.language.iso eng tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Petrov-Galerkin method tr_TR
dc.subject MEW Equation tr_TR
dc.subject Solitary wave tr_TR
dc.title Petrov galerkin method with cubic B splines for solving the MEW equation tr_TR
dc.type article tr_TR
dc.relation.journal Bulletin of the Belgian Mathematical Society tr_TR
dc.contributor.department Nevşehir Hacı Bektaş Veli Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR
dc.contributor.authorID 28727 tr_TR
dc.identifier.volume 19 tr_TR
dc.identifier.startpage 215 tr_TR
dc.identifier.endpage 227 tr_TR


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