The numerical solution of differential equations with retarded argument by means of natural spline functions of even degree

Polynomial Spline Functions of Even Degree Approximating the Solutions of (Delay) Differential Equations II

“…where P k is the set of polynomials of degree ≤ k. In [2] it is shown that the space S 2m (∆ n ) of natural polynomial splines of even degree 2m with the simple knots t 1 , t 2 , . .…”

“…It is proved in [2] that the spline function s f satisfies the "minimal norm property" as well as the "best approximation property".…”

“…Recently, some authors [2]- [6] have proposed different methods to approximate the solution of the deviating argument differential equations by means of spline functions. In this paper we propose an even degree polynomial spline approximation to approximate the solution of the delay differential equation.…”