rk4

rk4, a Fortran90 code which implements a fourth-order Runge-Kutta method to solve an ordinary differential equation (ODE).

Licensing:

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

Languages:

rk4 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 and an R version.

Related Data and Programs:

rk4_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. Erwin Fehlberg,
   Low-order Classical Runge-Kutta Formulas with Stepsize Control,
   NASA Technical Report R-315, 1969.
2. Lawrence Shampine, Herman Watts, S Davenport,
   Solving Non-stiff Ordinary Differential Equations - The State of the Art,
   SIAM Review,
   Volume 18, pages 376-411, 1976.

Source Code:

• rk4.f90, the source code.
• rk4.sh, compiles the source code.