flame_ode
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.
Licensing:
The computer code and data files described and made available on this web page
are distributed under
the GNU LGPL license.
Languages:
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).
References:

Shirley Abelman, Kailash Patidar,
Comparison of some recent numerical methods for initialvalue problems
for stiff ordinary differential equations,
Computers and Mathematics with Applications,
Volume 55, Number 4, 2008, pages 733744.

Guy Rouleau,
Guy on Simulink: Why do we need stiff ODE solvers?,
"https://blogs.mathworks.com/simulink/2012/07/03/whydoweneedstiffodesolvers/?s_tid=srchtitle",
Posted 03 July 2012.

Cleve Moler,
Cleve's Corner: Stiff Differential Equations,
MATLAB News and Notes,
May 2003, pages 1213.

Cleve Moler,
Cleve's Corner: Ordinary Differential Equations, Stiffness,
"https://blogs.mathworks.com/cleve/2014/06/09/ordinarydifferentialequationsstiffness/?s_tid=srchtitle",
Posted 09 June 2014.
Source Code:

flame.png,
a plot of the solution, for delta = 0.01;
Last revised on 24 October 2020.