  We consider the EBT algorithm (a particle method) for the non-local equation
with a discontinuous interaction kernel. The main difficulty lies in the low
regularity of the kernel which is not Lipschitz continuous, thus preventing the
application of standard arguments. Therefore, we use the radial symmetry of the
problem instead and transform it using spherical coordinates. The resulting
equation has a Lipschitz kernel with only one singularity at zero. We introduce
a new weighted flat norm and prove that the particle method converges in this
norm. We also comment on the two-dimensional case which requires the
application of the theory of measure spaces on general metric spaces and
present numerical simulations confirming the theoretical results. In a
companion paper, we apply the Bayesian method to fit parameters to this model
and study its theoretical properties.
