Computational spline interpolation algorithm for solving two point boundary value problems.

In this paper we will discuss the theoretical analysis for Bickley's method and numerical procedure for getting the approximate solution. If (sm, ck) denote the class of spline functions consisting of piecewise polynomial of degree m, joined at "knots" with at-least k continuous derivatives (k < m) then spline functions in (Sm, cm-1) are used as approximating function for two point boundary value problem in the second order differential equations. The result shows that the presented cubic spline function which interpolates the lacunary data was efficient and effective for solving such problems. [ABSTRACT FROM AUTHOR]