# trapezoidal

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.

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().

### Languages:

trapezoidal is available in a FreeFem++ version and a MATLAB version and an Octave version and a Python version and an R version.

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### Source Code:

Last revised on 26 April 2021.