flame_exact

flame_exact, a MATLAB 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.

Languages:

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

Related Data and codes:

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kdv_exact, a MATLAB code which evaluates an exact solution of the Korteweg-deVries (KdV) partial differential equation (PDE).

flame_ode, a MATLAB code which sets up an ordinary differential equation (ODE) that models the growth of a ball of flame in a combustion process. The exact solution is defined in terms of the Lambert W function.

navier_stokes_2d_exact, a MATLAB code which evaluates an exact solution to the incompressible time-dependent Navier-Stokes equations (NSE) over an arbitrary domain in 2D.

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pendulum_nonlinear_exact, a MATLAB code which evaluates an exact formula for the solution of the the ordinary differential equations (ODE) that represent the behavior of a nonlinear pendulum of length L under a gravitational force of strength G.

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References:

1. Guy Rouleau,
Guy on Simulink: Why do we need stiff ODE solvers?,
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.