Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition

A singularly perturbed parabolic problem of convection-diffusion type with a discontinuous initial condition is examined. particular complimentary error function identified which matches the discontinuity in condition. The difference between this analytical and solution approximated numerically. coordinate transformation used so that layer-adapted mesh can be aligned to interior layer present solution. Numerical analysis presented for associated numerical method, establishes method parameter-uniform method. results are illustrate pointwise bounds established paper.