rk3

rk3, a Fortran90 code which solves one or more ordinary differential equations (ODE) using an explicit Runge-Kutta method of order 3.

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 codes:

rk3_test

f90_ode_solver, a Fortran90 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.f90, the source code.
• rk3.sh, compiles the source code.