Super Convergence Method for Solution of Higher Order Boundary Value Problems

A new O(h10) super convergence method based on B-spline of degree eight has been developed for solution of higher order boundary value problems. Our presented collocation method leads to optimal approximation, we describe the mathematical procedure in detail also analyze the convergence of the method. The obtained numerical results have been compared with results obtained by recent existing methods to verify the applicability and super convergence properties of the presented method numerically.