Numerical Solutions of the Singularly Perturbed Semilinear Delay Differential Equations

Abstract

In this study, the numerical solution of the singularly perturbed semilinear differential equations with constant delay is investigated by the method of integral identities with use of linear basis functions and interpolating quadrature formulas. The finite difference scheme is established on Boglaev- Bakhvalov type mesh. The error approximations are obtained in the discrete maximum norm. A numerical example is solved to clarify the theoretical analysis.