Exponential Fitted Operator Method for Solving Second Order Singularly Perturbed Problem Having Large Delay

Abstract

In this thesis, exponential tted operator method has been presented for solving second order singularly perturbed problem having large delay. The stability and parameter uni form convergence of the proposed method are proved. To validate the applicability of the scheme, a model problem is considered for numerical experimentation and solved for di erent values of the perturbation parameter, ε and number of mesh points,N. Maximum absolute errors and rates of convergence for di erent values of perturbation parameter and number of mesh points are tabulated for the numerical example considered and it is observed that the present method is more accurate and rst order ε- uniformly convergent.