  In this study, we propose a new scheme named as complete flux scheme (CFS)
based on the finite volume method for solving singularly perturbed
differential-difference equations (SPDDEs) of elliptic type. An alternate
integral representation for the flux is obtained which plays an important role
in the derivation of CF scheme. We have established the stability, consistency
and quadrature convergence of the proposed scheme. The scheme is successfully
implemented on test problems.
