Computational results and analysis for a class oflinear and nonlinear singularly perturbedconvection delay problems on Shishkin mesh

Abstract

This article presents a hybrid numerical scheme for a class of linear and nonlinear sin-gularly perturbed convection delay problems on piecewise uniform. The proposed hybridnumerical scheme comprises with the tension spline scheme in the boundary layer regionand the midpoint approximation in the outer region on piecewise uniform mesh. Erroranalysis of the proposed scheme is discussed and is shownε-uniformly convergent. Nu-merical experiments for linear and nonlinear are performed to confirm the theoreticalanalysis.