File:LF-Solution.png

Summary

The Lax-Friedrichs solution at time ${\displaystyle t=1}$ for the illustration problem in the Lax–Friedrichs method article modified to have periodic boundary conditions with the discontinuous initial condition shown in the article. With the choice of ${\displaystyle a=1}$, the exact solution at time ${\displaystyle t=1}$ is identical to the initial condition:

File:LF-Initial.png

Thus this solution displays both dispersion and dissipation error.

Author: Jeff Steward Created using MATLAB 7.6.0.324 (R2008a)

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