Fitted Operator Average Finite Difference Method for Singularly Perturbed Delay Parabolic Reaction Diffusion Problems with Non-Local Boundary Conditions

This paper deals with numerical solution of singularly perturbed delay parabolic reaction diffusion problem having large on the spatial variable non-local boundary condition. The exhibits layer both sides domain and interior is also created. Introducing a fitting parameter into asymptotic applying average finite difference approximation, fitted operator method developed for solving under consideration. To treat condition, Simpson's rule applied. stability $\varepsilon$ uniform convergence analysis has been carried out. validate applicability scheme, examples are presented solved different values perturbation mesh sizes. results tabulated in terms maximum absolute errors rate it observed that present more accurate shown to be second order Uniformly convergent direction, improves methods existing literature.