Abstract:
One considers and investigates the notion of natural spline functions of even degree, satisfying given derivative-interpolating conditions on simple knots. By using such spline functions we shall develop some theory and algorithms for the numerical solution of a class of delay differential equations. It is shown that such kind of spline functions are very suitable for the numerical treatment of delay differential equations with initial conditions.
Key words and phrases: Natural spline function, derative-interpolating function, initial value problem, delay differential equation..
1980 Mathematics Subject Classification (1985 Revision): 41A15, 65D07, 65L05.
Available:
Contact:
P. Blaga and G. Micula, Babes-Bolyai-University, Dept. of Mathematics, Kogalniceanu 1, 3400 Cluj-Napoca, Romania