flame_ode

flame_ode, 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.

Licensing:

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

Languages:

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

Related Data and codes:

flame_ode_test

matlab_ode, MATLAB codes which set up various ordinary differential equations (ODE).

References:

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?,
   "https://blogs.mathworks.com/simulink/2012/07/03/why-do-we-need-stiff-ode-solvers/?s_tid=srchtitle",
   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,
   "https://blogs.mathworks.com/cleve/2014/06/09/ordinary-differential-equations-stiffness/?s_tid=srchtitle",
   Posted 09 June 2014.

Source Code:

• flame_deriv.m, returns the right hand side of the flame ODE.
• flame_exact.m, returns the exact solution of the flame ODE.
• flame_parameters.m, returns parameters of the flame ODE.
• lambert_w.m, evaluates the Lambert W function. Used in place of MATLAB's lambertw() function, which requires the Symbolic Toolbox.