rk4, a Python code which implements a fourth-order Runge-Kutta method to solve an ordinary differential equation (ODE).
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
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.
backward_euler, a Python code which solves one or more ordinary differential equations (ODE) using the backward Euler method.
euler, a Python code which solves one or more ordinary differential equations (ODE) using the forward Euler method.
leapfrog, a Python code which uses the leapfrog method to solve a second order ordinary differential equation (ODE) of the form y''=f(t,y).
midpoint, a Python code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method.
midpoint_explicit, a Python code which solves one or more ordinary differential equations (ODE) using the (explicit) midpoint method, also called the modified Euler method.
midpoint_fixed, a Python code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, using a simple fixed-point iteration to solve the nonlinear equation.
rkf45, a Python code which implements the Runge-Kutta-Fehlberg ODE solver.
trapezoidal, a Python code which solves one or more ordinary differential equations (ODE) using the (implicit) trapezoidal method.
trapezoidal_fixed, a Python code which solves one or more ordinary differential equations (ODE) using the (implicit) trapezoidal method, using a fixed point method to handle the implicit system.