Uniformly Convergent Scheme for Singularly Perturbed Space Delay Parabolic Differential Equation with Discontinuous Convection Coefficient and Source Term

A singularly perturbed delay parabolic problem of convection-diffusion type with a discontinuous convection coefficient and source term is examined. In the problem, strong interior layers weak boundary are exhibited due to large in spatial variable discontinuity source. The discretized by nonstandard finite difference scheme for time derivative, we used Crank–Nicolson scheme. To enhance order convergence variable, Richardson extrapolation technique applied. error analysis proposed was carried out proved that uniformly convergent second both temporal variables. Numerical experiments performed verify theoretical estimates.