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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2019 Volume 12, Issue 1, Pages 79–84 (Mi jsfu736)

This article is cited 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

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.

UDC: 517.9

Received: 29.05.2018
Received in revised form: 10.08.2018
Accepted: 20.10.2018

Language: English

DOI: 10.17516/1997-1397-2019-12-1-79-84



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