Abstract:
In this thesis, fitted non polynomial cubic spline method for solving singularly perturbed robin
type boundary value problems with discontinuous source term is considered. The stability and
parameter uniform convergence of the proposed method are proved. To validate the applicability
of the scheme, two model problems are considered for numerical experimentation and solved for
different values of the perturbation parameter, and mesh size, h. The numerical results are
tabulated in terms of maximum absolute errors and rate of convergence and it is observed that
the present method is more accurate and -uniformly convergent for h where the classical
numerical methods fails to give good result and it also improves the results of the methods
existing in the literature.
