Publications (1)0 Total impact
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ABSTRACT: We consider a nonlocal scalar conservation law proposed by Andrew C. Fowler
to describe the dynamics of dunes, and we develop a numerical procedure based
on splitting methods to approximate its solutions. We begin by proving the
convergence of the well-known Lie formula, which is an approximation of the
exact solution of order one in time. We next use the split-step Fourier method
to approximate the continuous problem using the fast Fourier transform and the
finite difference method. Our numerical experiments confirm the theoretical
results.
09/2011;
