quadex_ode

quadex_ode, a Python code which solves a stiff ordinary differential equation (ODE), whose exact solution is a parabola, but for which errors grow exponentially.

Licensing:

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

Languages:

quadex_ode is available in a MATLAB version and an Octave version and a Python version.

Related Data and codes:

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

References:

1. Charles Curtiss, Joseph Hirschfelder,
   Integration of Stiff Equations,
   Proceedings of the National Academy of Science, USA,
   Volume 38, Number 3, pages 235-243, March 1952.

Source Code:

• quadex_ode.py, the source code.
• quadex_ode.sh, runs all the tests.
• quadex_ode.txt, the output file.

• quadex_euler_2500.png, a plot of the solution using the Euler method.
• quadex_backward_euler_2500.png, a plot of the solution using the backward Euler method.