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.
