Patched Segmented Collocation Techniques for the Numerical Solution of Second Order Boundary Value Problems

Abstract

This paper deals with the numerical solutions of boundary value problems by patched segemented Collocation Method. The method examined the numerical solutions of boundary value problems after the whole intervals of consideration have been partitioned into various sub intervals and the solutions are sought in the various sub intervals and then matched together using Chebyshev polynomials as the basis function. Numerical examples are given to illustrate the efficiency, accuracy and computational cost of the method. Results obtained are better than when the problems are solved within the whole intervals using the same approach.