In this dissertation, we describe Cubic Splines and their applications.In particular Cubic Splines are
discussed in detail with their applications in the Interpolation,Solutions of Initial Value Problems
and Solutions of Boundary Value Problems.These are easy to implement on a computer. Several
numerical examples have been solved to demonstrate the applicability of Cubic Splines. In the case of
Boundary Value Problems, computational results are presented for constant coefficients, variable coefficients of homogeneous,non-homogeneous linear two point Boundary Value Problems. Computational results have been taken for different step sixes and these results are compared with exact solutions.It is observed from the computational results that the Cubic Spline approximate the exact solution
very well
