rk3

rk3, a Python code which solves one or more ordinary differential equations (ODE) using a Runge-Kutta order 3 explicit method.

Licensing:

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

Languages:

rk3 is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

python_ode_solver, a Python code which solves one or more differential equations (ODE) using a method of a particular order, either explicit or implicit. Some methods require a nonlinear equation solver. Some methods used a fixed stepsize, while others adapt the stepsize based on an error estimate.

Reference:

1. Catalin Trenchea, John Burkardt,
   Refactorization of the midpoint rule,
   Applied Mathematics Letters,
   Volume 107, September 2020.

Source Code:

• rk3.py, the source code.
• rk3.sh, runs all the tests.
• rk3.txt, the output file.

• rk3_humps.png,
• rk3_predator_prey.png,
• rk3_stiff.png,