**trapezoidal_explicit**,
a Python code which
solves one or more ordinary differential equations (ODE)
using the (explicit) trapezoidal method.

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

**trapezoidal_explicit** 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.

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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.

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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.

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.

- trapezoidal_explicit.py, the source code.
- trapezoidal_explicit.sh, runs all the tests.
- trapezoidal_explicit.txt, the output file.