Fitted Operator Method For Solving Second Order Singularly Perturbed Problem Having Delay.

Abstract

In this thesis, nonstandard finite difference method for second order singularly perturbed problem having large delay was considered. The accuracy and parameter uniform con vergence of the proposed method are proved. To validate the applicability of the scheme, two model problem are considered for numerical experimentation and solved for differ ent values of the perturbation parameter, and number of mesh points,N. Maximum absolute errors and rates of convergence for different values of perturbation parameter and number of mesh points are tabulated for the numerical examples considered and it is observed that the present method is more accurate and first order- uniformly convergent.