As well known, solutions of delay differential equations (DDEs) are characterizes by low regularity. In particular solutions of neutral delay differential equations (NDDEs) frequently exhibit discontinuities in the first derivative so that the differential problems become rough. The aim of this paper is to approximate the solutions of such rough delay problems by means of a peculiar deficient spline collocation method. Significant numerical examples are provided to enlighten the features of the proposed method.
Peculiar spline collocation method for solving rough and stiff delay differential problems.
CALIO', FRANCA;MARCHETTI, ELENA MARIA;PAVANI, RAFFAELLA
2004-01-01
Abstract
As well known, solutions of delay differential equations (DDEs) are characterizes by low regularity. In particular solutions of neutral delay differential equations (NDDEs) frequently exhibit discontinuities in the first derivative so that the differential problems become rough. The aim of this paper is to approximate the solutions of such rough delay problems by means of a peculiar deficient spline collocation method. Significant numerical examples are provided to enlighten the features of the proposed method.File in questo prodotto:
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PecSplineDelayDiffPb.pdf
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