trapezoidal_fixed, a Python code which solves one or more ordinary differential equations (ODE) using the (implicit) trapezoidal method, using a fixed point method for the implicit equation.
Unless the right hand side of the ODE is linear in the dependent variable, each trapezoidal step requires the solution of an implicit nonlinear equation. Such equations can be approximately solved using methods such as fixed point iteration, or an implicit equation solver like fsolve().
The computer code and data files described and made available on this web page are distributed under the MIT license
trapezoidal_fixed is available in 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.
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trapezoidal, a Python code which solves one or more ordinary differential equations (ODE) using the (implicit) trapezoidal method, using fsolve() to handle the implicit equation.
