Numerical solutions of boundary layered neutral type delayed differential problems

In this study, numerical solutions are handled by using finite different methods for linear and non-linear first order neutral type delay differential equations with singular perturbation properties. Asymptotic evaluations are made to be used in the analysis of the error term for the problems considered. Appropriate difference schemes, consisting of integral identities where the remainder terms are in integral form, have been established on the uniform, Shishkin and Bakhvalov meshes for the linear problem; and on Shishkin and Bakhvalov meshes for the non-linear problem. The uniform convergence and stability of the difference schemes at discrete maximum norm according to the perturbation parameter are discussed, the problems discussed are tested on examples and graphic drawings are presented.