BURGERS_EQUATION_CHARACTERISTICS
Method of Characteristics for Burgers Equation


BURGERS_EQUATION_CHARACTERISTICS is a MATHEMATICA library which uses the method of characteristics to display a solution to the inviscid Burgers equation.

Related Data and Programs:

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_SOLUTION, a C library which evaluates an exact solution of the time-dependent 1D viscous Burgers equation.

BURGERS_STEADY_VISCOUS a MATLAB library 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 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.

PCE_BURGERS, a C++ program which defines and solves a version of the time-dependent viscous Burgers equation, with uncertain viscosity, using a polynomial chaos expansion in terms of Hermite polynomials, by Gianluca Iaccarino.

Reference:

  1. Mikel Landajuela,
    Burgers Equation,
    Basque Center for Applied Mathematics, 2011.

Source Code:

You can go up one level to the Mathematica source codes.


Last revised on 06 January 2006.