A Robust Numerical Method for A Singularly Perturbed Two-Parameter Delay Differential Equation

Abstract

The aim of this thesis is to present an exponentially fitted numerical method for solv ing singularly perturbed differential equations with two parameters and a large delay. The accuracy and parameter uniform convergence of the proposed method is presented.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 was observed that the present method is more accurate and uniformly convergent independent of the parameters.