midpoint_fixed, a Python code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, applying a fixed point iteration to solve the associated nonlinear equation.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
midpoint_fixed 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.
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.
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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.