simple model for Burgers PDE $d/dt x + d/d_xi (1/2 * v * x^2) = 0$ on the unit square xi in [0,1] with initial value x(.,0) = x0(.) = piecewise constant x_left and x_right on left/right half of domain and dirichlet boundary values x_left and x_right and discretization via Lax-friedrichs (central differences with numerical diffusion) The v is the velocity. the parameter vector is [x_left, x_right, v] More...
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Functions | |
function model = | burgers_1d_model (n_xi, T, x_left, x_right, v) |
simple model for Burgers PDE $d/dt x + d/d_xi (1/2 * v * x^2) = 0$ on the unit square xi in [0,1] with initial value x(.,0) = x0(.) = piecewise constant x_left and x_right on left/right half of domain and dirichlet boundary values x_left and x_right and discretization via Lax-friedrichs (central differences with numerical diffusion) The v is the velocity. the parameter vector is [x_left, x_right, v] More... | |
function x0 = | burgers |