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 computer code and data files described and made available on this web page are 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_time.png, a plot of the solution over time.
• lotka_phase.png, a plot of the phase plane.