rk2


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

Licensing:

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

Languages:

rk2 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:


Last revised on 06 April 2021.