flame_exact

flame_exact, a Fortran90 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.

Graphic output of the results is created using gnuplot().

Licensing:

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

Languages:

flame_exact is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and codes:

flame_exact_test

f90_exact, a Fortran90 code which evaluates exact solutions to a few selected examples of ordinary differential equations (ODE) and partial differential equations (PDE).

gnuplot_test, a Fortran90 code which writes data and command files so that gnuplot() plots the results.

persistence, a Fortran90 code which demonstrates how to initialize, get, or set data stored within a function, using static/persistent/saved/local memory.

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:

• flame_exact.f90, the source code.
• flame_exact.sh, compiles the source code.