Lacunary Spline Function for Solving Second Order Boundary Value Problems

This article is dedicated to constructing of spline function of seven-degree lacunary spline function of the type (0, 1, 3, 6) for solving a two-point boundary value problem of type (B.V.P): y (x)+f1(x)y (x)+f2(x)y(x)=r(x), y(x0)=y0, y(xn)=yn… (1.1) where f1(x), f2(x) and r(x) are continuous functions of x. Existence and uniqueness of the spline function discussed. Convergence and error bounds are investigated.Numerical illustrations have given, with the example for calculating absolute error between spline functions and exact solution with their derivatives.