midpoint_adaptive_test

midpoint_adaptive_test, a MATLAB code which calls midpoint_adaptive(), which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, relying on fsolve() to solve the implicit equation, and using an adaptive timestep.

Licensing:

The information on this web page is distributed under the MIT license.

Related Data and codes:

midpoint_adaptive, a MATLAB code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, relying on fsolve() to solve the implicit equation, and using an adaptive timestep.

Source Code:

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

• lotka_deriv.m, returns the right hand side of the Lotka predator prey ODE.
• lotka_test.m, solves the ODE using midpoint_adaptive().

• lotka_phase.png, a plot of the phase plane.
• lotka_solution.png, a plot of the solution over time.
• lotka_timestep.png, a plot of the timesteps.