flame_ode, a Python code which considers an ordinary differential equation (ODE) which models the growth of a ball of flame in a combustion process.


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


flame_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).


  1. Shirley Abelman, Kailash Patidar,
    Comparison of some recent numerical methods for initial-value problems for stiff ordinary differential equations,
    Computers and Mathematics with Applications,
    Volume 55, Number 4, 2008, pages 733-744.
  2. Guy Rouleau,
    Guy on Simulink: Why do we need stiff ODE solvers?,
    Posted 03 July 2012.
  3. Cleve Moler,
    Cleve's Corner: Stiff Differential Equations,
    MATLAB News and Notes,
    May 2003, pages 12-13.
  4. Cleve Moler,
    Cleve's Corner: Ordinary Differential Equations, Stiffness,
    Posted 09 June 2014.

Source Code:

Last revised on 24 October 2020.