unstable_ode, a Python code which sets up and solves an unstable ordinary differential equation (ODE) which the backward Euler method incorrectly drives to zero.


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


unstable_ode is available in a MATLAB version and a Python version.


This example, which demonstrates that the "stability" of the backward Euler method can sometimes completely destroy the correct solution, was thought up and implemented by Catalin Trenchea, to make a point.

Related Data and codes:

python_ode, Python codes which sets up various systems of ordinary differential equations (ODE).

Source Code:

Last revised on 29 October 2021.