a MATLAB code which
sets up and solves 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:
MATLAB codes which
set up various ordinary differential equations (ODE).
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.
Guy on Simulink: Why do we need stiff ODE solvers?,
Posted 03 July 2012.
Cleve's Corner: Stiff Differential Equations,
MATLAB News and Notes,
May 2003, pages 12-13.
Cleve's Corner: Ordinary Differential Equations, Stiffness,
Posted 09 June 2014.
returns the right hand side of the flame ODE.
returns the exact solution of the flame ODE.
returns parameters of the flame ODE.
evaluates the Lambert W function. Used in place of
MATLAB's lambertw() function, which requires the
Last revised on 23 April 2021.