pendulum_nonlinear_exact_test

pendulum_nonlinear_exact_test, a MATLAB code which calls pendulum_nonlinear_exact(), which evaluates an exact formula for the solution of the 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 codes:

pendulum_nonlinear_exact, a MATLAB code which evaluates an exact formula for the solution of the 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_exact_test.m, calls all the tests.
• pendulum_nonlinear_exact_test.sh, runs all the tests.
• pendulum_nonlinear_exact_test.txt, the output file.

• midpoint.m, solves an ODE using the (implicit) midpoint method.
• pendulum_nonlinear_midpoint.m, compares the exact solution to a solution produced by midpoint().
• 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.m, compares the exact solution to a solution produced by ode23().
• 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.