Cubic B-spline Solution of Nonlinear Sixth Order Boundary Value Problems

In the present paper, we study the Cubic-B splines to find numerical solution of 6th order nonlinear boundary value problems arising in astrophysics and the narrow convecting layers bounded by stable layers. The prescribed method transforms the boundary value problem to a system of linear equations. The algorithm we are going to develop in this paper is not only simply the approximation solution of the 6th order boundary value problems using Cubic-B spline but it also describes the estimated derivatives of 1st order to 6th order of the analytic solution at the same time. This new method has lower computational cost than many other methods and is second order convergent. Some mathematical samples are presented to authenticate the speculative exploration and demonstrate the legitimacy and applicability of the techniqu