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).
The computer code and data files described and made available on this web page are distributed under the MIT license
leapfrog is available in a MATLAB version and a Python 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.
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.
rk4, a Python code which applies the fourth order Runge-Kutta (RK) algorithm to estimate the solution of an ordinary differential equation (ODE) at the next time step.
rkf45, a Python code which implements the Runge-Kutta-Fehlberg (rkf) solver for the solution of a system of ordinary differential equations (ODE).
trapezoidal, a Python code which solves one or more ordinary differential equations (ODE) using the 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.
