A hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer

‎The aim of this paper is to present a numerical method for singularly perturbed convection-diffusion problems with a delay‎. ‎The method is a combination of the asymptotic expansion technique and the reproducing kernel method (RKM)‎. ‎First an asymptotic expansion for the solution of the given singularly perturbed delayed boundary‎ ‎value problem is constructed‎. ‎Then the reduced regular delayed differential equation is solved‎ ‎analytically using the RKM‎. ‎An error estimate and two numerical examples are provided to illustrate the effectiveness of the present method‎. ‎The results of numerical examples show that the present method is accurate and efficient‎.