Parameter uniform numerical methods for singularly perturbed delay parabolic differential equations with non-local boundary condition

The motive of this paper is, to develop accurate and parameter uniform numerical method for solving singularly perturbed delay parabolic differential equation with non-local boundary condition exhibiting layers. Also, the term that occurs in space variable gives rise interior layer. Fitted operator finite difference on mesh uses procedures line spatial discretization backward Euler resulting system initial value problems temporal direction is considered. To treat condition, Simpsons rule applied. stability convergence proposed are proved. validate applicability scheme, examples presented solved different values perturbation parameter. shown be O(h2 + △t) . Finally, conclusion work included at end.