  This article studies a dirichlet boundary value problem for singularly
perturbed time delay convection diffusion equation with degenerate coefficient.
A priori explicit bounds are established on the solution and its derivatives.
For asymptotic analysis of the spatial derivatives the solution is decomposed
into regular and singular parts. To approximate the solution a numerical method
is considered which consists of backward Euler scheme for time discretization
on uniform mesh and a combination of midpoint upwind and central difference
scheme for the spatial discretization on modified Shishkin mesh. Stability
analysis is carried out, numerical results are presented and comparison is done
with upwind scheme on uniform mesh as well as upwind scheme on Shishkin mesh to
demonstrate the effectiveness of the proposed method.
  The convergence obtained in practical satisfies the theoretical predictions.
