  Inhomogeneity is introduced through random local interactions (Ui) in an
attractive Hubbard model on a square lattice and studied using mean-field
Bogoliubov-de Gennes formalism. Superconductivity is found to get suppressed by
the random Ui contrary to the results of a bimodal distribution of Ui. The
proximity effect of superconductivity is found to be strong, all sites develop
non-zero pairing amplitude. The gap in the density of states is always non-zero
and does not vanish even for strong disorder. When two such superconductors are
coupled via a channel, the effect of one on the other is negligible. The length
and width of the connector, do not seem to have any noticeable effect on the
superconductivity in either systems. The superconducting blocks behave as
independent entity and the introduction of the channel have no effect on them.
