Exponential Fitted Operator Method For Singularly Perturbed Delay Differential Equation With Discontinuous Source Term

Abstract

The aim of this thesis is to present exponential fitted operator method for singularly perturbed delay differential equation with discontinuous source term.Due to the discontinuity an interior layer appears in the solution . The method uses exponential fitted operator and a uniform mesh length, which is fitted to the interior layer. To validate the applicability of the scheme,one model problem is considered for numerical experimentation and solved for different values of the perturbation parameter and mesh size. The numerical results are tabulated in terms of maximum absolute errors and rate of convergence and it observed that the present method is more accurate and ε-uniformly convergent