rk2_test

rk2_test, an Octave code which calls rk2(), which solves one or more ordinary differential equations (ODE) using an explicit Runge-Kutta method of order 2, also known as Heun's method, the modified Euler method, or the explicit midpoint method.

Licensing:

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

Related Data and Programs:

rk2, an Octave code which solves one or more ordinary differential equations (ODE) using an explicit Runge-Kutta method of order 2, also known as Heun's method, the modified Euler method, or the explicit midpoint method.

Source Code:

• rk2_test.m, calls all the tests.
• rk2_test.sh, runs all the tests.
• rk2_test.txt, the output file.

• humps_rk2.m, uses rk2() to solve the humps ODE.
• humps_deriv.m, returns the derivative of the humps ODE.
• humps_exact.m, the exact solution of the humps ODE.
• humps_rk2.png, an image of the approximate and exact solutions.

• predator_prey_deriv.m, returns the right hand side of the predator prey ODE.
• predator_prey_rk2.m, solves the predator prey ODE using fsolve().
• predator_prey_rk2.png, a plot of the solution.

• stiff_deriv.m, returns the right hand side of the stiff ODE.
• stiff_exact.m, returns the exact solution of the stiff ODE.
• stiff_rk2.png
• stiff_rk2.m