Pseudospectral methods for nonlinear pendulum equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 1, pp. 79-84
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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.
@article{JSFU_2019_12_1_a6,
author = {Le Anh Nhat},
title = {Pseudospectral methods for nonlinear pendulum equations},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {79--84},
publisher = {mathdoc},
volume = {12},
number = {1},
year = {2019},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2019_12_1_a6/}
}
TY - JOUR AU - Le Anh Nhat TI - Pseudospectral methods for nonlinear pendulum equations JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2019 SP - 79 EP - 84 VL - 12 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2019_12_1_a6/ LA - en ID - JSFU_2019_12_1_a6 ER -
Le Anh Nhat. Pseudospectral methods for nonlinear pendulum equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 1, pp. 79-84. http://geodesic.mathdoc.fr/item/JSFU_2019_12_1_a6/