A spline technique for boundary value problems with discontinuous derivatives

Summary A fourth-order-accurate numerical technique, based on spline interpolating polynomials, for solving two point boundary value problems involving discontinuous derivatives at one internal point (o more) is presented. Numerical results are provided for a linear model problem and compared whith those obtained by means of a second-order-accurate finite difference approach.

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Sommario Si presenta un metodo numerico, basato su polinomi interpolatori di tipo spline per la risoluzione di «two point boundary value problems», con derivate prima e seconda discontinue in uno o più punti. Per una equazione lineare modello, si forniscono dei risultati numerici e li si confronta con quelli ottenuti mediante un metodo alle differenze finite.

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This research was supported by the C.N.R.