Biondini abstract

ANALYTICAL AND NUMERICAL SOLUTIONS OF THE SEMILINE BURGERS EQUATION

G. Biondini and S. De Lillo, Perugia

We consider the semiline Burgers equation with oscillating boundary condition. Analytical solutions are compared to the results coming from different numerical simulations, relative to both integrable and non-integrable discretizations. It is found that, unlike integrable discretizations, non-integrable discretizations fail at high frequencies.

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