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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 3, Page 417
DOI: https://doi.org/10.7868/S0044466915030072 (Mi zvmmf10168) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Subdomain finite element method with quartic $\mathrm{B}$-splines for the modified equal width wave equation

T. Geyiklia, S. B. G. Karakocb

a Department of Mathematics, Faculty of Science and Art, Inönü University, Malatya, 44280, Turkey
b Department of Mathematics, Faculty of Science and Art, Nevsehir University, Nevsehir, 50300, Turkey
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DOI: https://doi.org/10.7868/S0044466915030072
Abstract: In this paper, a numerical solution of the modified equal width wave (MEW) equation, has been obtained by a numerical technique based on Subdomain finite element method with quartic $\mathrm{B}$-splines. Test problems including the motion of a single solitary wave and interaction of two solitary waves are studied to validate the suggested method. Accuracy and efficiency of the proposed method are discussed by computing the numerical conserved laws and error norms $L_2$ and $L_\infty$. A linear stability analysis based on a Fourier method shows that the numerical scheme is unconditionally stable.
Key words: quartic $\mathrm{B}$-splines, subdomain finite element method, modified equal width wave equation, solitary waves.
Received: 20.02.2013
Revised: 03.05.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 3, Pages 410–421
DOI: https://doi.org/10.1134/S0965542515030070
Bibliographic databases:
Document Type: Article
UDC: 519.63
MSC: Primary 65M60; Secondary 65M70
Language: English
Citation: T. Geyikli, S. B. G. Karakoc, “Subdomain finite element method with quartic $\mathrm{B}$-splines for the modified equal width wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015), 417; Comput. Math. Math. Phys., 55:3 (2015), 410–421
Citation in format AMSBIB
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    • This publication is cited in the following 23 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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