A robust numerical algorithm on harmonic mesh for parabolic singularly perturbed convection-diffusion problems with time delay

This article deals with the class of singularly perturbed convection-diffusion problem with time delay. A parameter uniform numerical method is developed, and its detailed analysis is done. To discretize the spatial domain, a harmonic mesh H(ℓ) is used, which gives more accurate results in comparison with Shishkin, S(ℓ) and Bakhvalov mesh. Numerical experiments are carried out to validate the proposed method. The computational results on H(ℓ) mesh have been compared with the other existing meshes like B-mesh, Shishkin mesh and S(ℓ) mesh.