sling_ode_test

sling_ode_test, a MATLAB code which calls sling_ode(), which sets up and solves a system of ordinary differential equations (ODE) for which the exact circular solution can only be approximated for a short interval before it decays to zero.

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:

sling_ode, a MATLAB code which sets up and solves a system of ordinary differential equations (ODE) for which the exact circular solution can only be approximated for a short interval before it decays to zero.

Source Code:

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

• midpoint.m, solves an ODE system using the implicit midpoint method.
• sling_midpoint.m, uses midpoint() to solve the problem.
• sling_midpoint_plot_1.png, a plot of two solution components over time, for s = 1.
• sling_midpoint_phase_1.png, a phase plot, for s = 1.
• sling_midpoint_conservation_1.png, a plot of the energy over time, for s = 1.
• sling_midpoint_plot_0.4.png, a plot of two solution components over time, for s = 0.4.
• sling_midpoint_phase_0.4.png, a phase plot, for s = 0.4.
• sling_midpoint_conservation_0.4.png, a plot of the energy over time, for s = 0.4.

• sling_ode45.m, uses ode45() to solve the problem.
• sling_ode45_plot_1.png, a plot of two solution components over time, for s = 1.
• sling_ode45_phase_1.png, a phase plot, for s = 1.
• sling_ode45_conservation_1.png, a plot of the energy over time, for s = 1.
• sling_ode45_plot_0.4.png, a plot of two solution components over time, for s = 0.4.
• sling_ode45_phase_0.4.png, a phase plot, for s = 0.4.
• sling_ode45_conservation_0.4.png, a plot of the energy over time, for s = 0.4.