flame_exact


flame_exact, a Python code which returns the exact solution of an ordinary differential equation (ODE) which models the growth of a ball of flame in a combustion process. The exact solution is defined in terms of the Lambert W function.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

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

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References:

  1. 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.
  2. Cleve Moler,
    Cleve's Corner: Stiff Differential Equations,
    MATLAB News and Notes,
    May 2003, pages 12-13.
  3. 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:


Last revised on 27 April 2024.