trapezoidal_fixed, an Octave code which solves one or more ordinary differential equations (ODE) using the (implicit) trapezoidal method, using a fixed point method for the implicit system.
Unless the right hand side of the ODE is linear in the dependent variable, each trapezoid 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 information on this web page is 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.
octave_ode_solver, an Octave 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.