BURGERS_SOLUTION, a C++ library 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^2for -1.0 < x < +1.0, and 0.0 < t.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
BURGERS_SOLUTION is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB 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];
FD1D_BURGERS_LAX, a C++ program 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 C++ program which applies the finite difference method and the leapfrog approach to solve the non-viscous Burgers equation in one spatial dimension and time.