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Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 1, Pages 79–84
DOI: https://doi.org/10.17516/1997-1397-2019-12-1-79-84 (Mi jsfu736) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Pseudospectral methods for nonlinear pendulum equations

Le Anh Nhatab

a RUDN University, 6 Miklukho-Maklaya str., Moscow, 117198, Russia
b Tan Trao University, Tuyen Quang 22227, Vietnam
Full-text PDF (282 kB) Citations (6)
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DOI: https://doi.org/10.17516/1997-1397-2019-12-1-79-84
Abstract: The article searched on mathematics and numerical solutions for the nonlinear pendulum (Chaotic pendulum). The numerical solution that was used for our research suitably the pseudospectral methods. With these equations, we studied and calculated on the interval $[-1, 1]$, with boundary conditions already known. We used the software Mathematica 10.4 to calculate the results of the problems.
Keywords: chaotic pendulum, Chebyshev, pseudospectral methods, differentiation matrices, collocation method, nonlinear equations.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
The publication was prepared with the support of the “RUDN University Program 5-100”.
Received: 29.05.2018
Received in revised form: 10.08.2018
Accepted: 20.10.2018
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Le Anh Nhat, “Pseudospectral methods for nonlinear pendulum equations”, J. Sib. Fed. Univ. Math. Phys., 12:1 (2019), 79–84
Citation in format AMSBIB
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\by Le~Anh~Nhat
\paper Pseudospectral methods for nonlinear pendulum equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 1
\pages 79--84
\mathnet{http://mi.mathnet.ru/jsfu736}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-1-79-84}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000458446400007}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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