A Parameter-Uniform Numerical Scheme for Solving Singularly Perturbed Parabolic Reaction-Diffusion Problems with Delay in the Spatial Variable

The objective of this research work is to develop and analyse a numerical scheme for solving singularly perturbed parabolic reaction-diffusion problems with large spatial delay. presence the small positive parameter on term highest order derivative exhibits two strong boundary layers in solution problem, delay gives rise interior layer. layers’ behavior makes it difficult solve problem analytically. To treat such we developed using Crank–Nicolson method time direction central difference via nonstandard finite methods uniform meshes. Stability convergence analyses obtained have been established, which show that uniformly convergent. confirm theoretical analysis, model examples are considered demonstrated.