Abstract An extended second order finite difference method on a variable mesh is proposed for the solution of singularly perturbed boundary value problem. A discrete equation achieved non uniform by extending first and derivatives to higher differences. This solved efficiently using tridiagonal solver. The analysed convergence, convergence derived. Model examples are scheme compared with availa...

In this paper, the boundary value problems for second order singularly perturbed delay differential equations are treated. A generic numerical approach based on finite difference is presented to solve such boundary value problems. The stability and convergence analysis of the method is studied. The solution of the boundary value problems when delay is zero, exhibits layer behavior. Here, the st...