sine_gordon_exact, a MATLAB code which returns an exact solution of the Sine-Gordon equation, a partial differential equation (PDE) of the form uxy=sin(u).
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sine_gordon_exact is available in a MATLAB version and an Octave version.
burgers_exact, a MATLAB code which evaluates exact solutions of time-dependent 1D viscous Burgers equation.
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.
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.
navier_stokes_3d_exact, a MATLAB code which evaluates an exact solution to the incompressible time-dependent Navier-Stokes equations (NSE) over an arbitrary domain in 3D.
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.
spiral_exact, a MATLAB code which computes a 2D velocity vector field that is an exact solution of the continuity equation.
stokes_2d_exact, a MATLAB code which evaluates exact solutions to the incompressible steady Stokes equations over the unit square in 2D.