Abstract
We consider the Burgers equation and seek for its numerical solutions. The relaxation method of Jin and Xin, called the Jin–Xin relaxation method, is tested to solve the Burgers equation. We find that the Jin–Xin relaxation method solves the Burgers equation successfully. In addition, the Jin–Xin relaxation method holds the analytical properties of the Burgers equation better than the standard Lax–Friedrichs finite-volume method does.
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