fd1d_burgers_lax, a MATLAB code which solves the nonviscous time-dependent Burgers equation using finite differences and the Lax-Wendroff method.
The function u(x,t) is to be solved for in the equation:
du/dt + u * du/dx = 0for a <= x <= b and t_init <= t <= t_last.
Problem data includes an initial condition for u(x,t_init), and the boundary value functions u(a,t) and u(b,t).
The non-viscous Burgers equation can develop shock waves or discontinuities.
fd1d_burgers_laxruns the program.
The computer code and data files described and made available on this web page are distributed under the MIT license
fd1d_burgers_lax is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
burgers, a dataset directory which contains some solutions to the viscous Burgers equation.
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