Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/6331
Title: A Taylor-Galerkin finite element method for the KdV equation using cubic B-splines
Authors: Canvar, A.
Sarı, Murat
Dag, I.
Keywords: Cubic B-splines
KdV equation
Partial differential equations
Soliton
TaylorGalerkin finite element method
Error norm
Exact solution
Finite Element
Galerkin finite element methods
KdV equations
Korteweg-de Vries equations
Numerical results
Taylor-Galerkin method
Test problem
Time-stepping
Unconditionally stable
Computational fluid dynamics
Computational mechanics
Models
Solitons
Splines
Finite element method
Abstract: In this paper, to obtain accurate solutions of the Kortewegde Vries (KdV) equation, a TaylorGalerkin method is proposed based on cubic B-splines over finite elements. To tackle this a forward time-stepping technique is accepted in time. To see the accuracy of the proposed method, L2 and L? error norms are calculated in three test problems. The numerical results are found to be in good agreement with exact solutions and with the literature. The applied numerical method has also been shown to be unconditionally stable. In order to find out the physical behaviour of more intricate models, this procedure has been seen to have a great potentiality. © 2010 Elsevier B.V. All rights reserved.
URI: https://hdl.handle.net/11499/6331
https://doi.org/10.1016/j.physb.2010.05.008
ISSN: 0921-4526
Appears in Collections:Fen-Edebiyat Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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