pendulum_nonlinear_ode

pendulum_nonlinear_ode, a Python code which sets up the ordinary differential equations (ODE) that represent the behavior of a nonlinear pendulum of length L under a gravitational force of strength G.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

pendulum_nonlinear_ode is available in a MATLAB version and an Octave version and a Python version.

Related Data and codes:

python_ode, Python codes which sets up various systems of ordinary differential equations (ODE).

Reference:

• Augusto Belendez, Carolina Pascual, David Mendez, Tarsicio Belendez Vazquez, Cristian Neipp,
  Exact solution of the nonlinear pendulum problem,
  Revista Brasileira de Ensino de Fisica,
  Volume 29, Number 4, pages 645-648, 2007.
• Karlheinz Ochs,
  A comprehensive analytical solution of the nonlinear pendulum,
  European Journal of Physics,
  Volume 32, pages 479-490, 2011.

Source Code:

• pendulum_nonlinear_ode.py, the source code.
• pendulum_nonlinear_ode.sh, runs all the tests.
• pendulum_nonlinear_ode.txt, the output file.

• pendulum_nonlinear_energy.png, a plot of the energy of the nonlinear pendulum behavior over time.
• pendulum_nonlinear_plot.png, a plot of the nonlinear pendulum behavior over time.