pendulum_nonlinear_ode_test

pendulum_nonlinear_ode_test, a MATLAB code which calls pendulum_nonlinear_ode(), 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

Related Data and Programs:

pendulum_nonlinear_ode, a MATLAB 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.

Source Code:

• pendulum_nonlinear_ode_test.m, calls all the tests.
• pendulum_nonlinear_ode_test.sh, runs all the tests.
• pendulum_nonlinear_ode_test.txt, the output file.

• pendulum_nonlinear_period_test.m, tests the period calculation.
• pendulum_nonlinear_period.png, plots the period as a function of initial displacement angle.

• midpoint.m, a midpoint ODE solver.
• pendulum_nonlinear_midpoint_energy.png, a plot of the energy of the nonlinear pendulum behavior over time.
• pendulum_nonlinear_midpoint_phase.png, the phase plot.
• pendulum_nonlinear_midpoint_theta.png, a plot of the the angular deflection over time.
• pendulum_nonlinear_midpoint_thetadot.png, a plot of the angular velocity over time.

• pendulum_nonlinear_ode23_energy.png, a plot of the energy of the nonlinear pendulum behavior over time.
• pendulum_nonlinear_ode23_phase.png, the phase plot.
• pendulum_nonlinear_ode23_theta.png, a plot of the the angular deflection over time.
• pendulum_nonlinear_ode23_thetadot.png, a plot of the angular velocity over time.