burgers_exact, a MATLAB code which evaluates exact solutions of the time-dependent 1D viscous Burgers equation.
The form of the Burgers equation considered here is:
du du d^2 u -- + u * -- = nu * ----- dt dx dx^2
The information on this web page is distributed under the MIT license.
burgers_exact is available in a C version and a C++ version and a Fortran77 version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.
burgers, a dataset directory which contains 40 solutions of the Burgers equation in one space dimension and time, at equally spaced times from 0 to 1, with values at 41 equally spaced nodes in [0,1];
burgers_steady_viscous, a MATLAB code which solves the steady (time-independent) viscous Burgers equation using a finite difference discretization of the conservative form of the equation, and then applying Newton's method to solve the resulting nonlinear system.
fd1d_burgers_lax, a MATLAB code which applies the finite difference method and the Lax-Wendroff method to solve the non-viscous Burgers equation in one spatial dimension and time.
fd1d_burgers_leap, a MATLAB code which applies the finite difference method and the leapfrog approach to solve the non-viscous Burgers equation in one spatial dimension and time.
kdv_exact, a MATLAB code which evaluates an exact solution of the Korteweg-deVries (KdV) partial differential equation (PDE).
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.