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On the use of spline functions of even degree for the numerical solution of the delay differential equations. (English) Zbl 0871.65063

Summary: 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 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 is very suitable for the numerical treatment of delay differential equations with initial conditions.

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34K05 General theory of functional-differential equations
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References:

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