Skip to main content
SpringerLink
Log in

A spline technique for boundary value problems with discontinuous derivatives

  • Published:
Meccanica Aims and scope Submit manuscript

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.

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Davis R. T.,Numerical Solution of the Hypersonic Viscous Shock Layer Equations, AIAA J. Vol. 8, n. 5, pp. 843–851, 1970.

    Google Scholar 

  2. Srivastava B.N., Werle M.J., Davis R.T.,Viscous Shock Layer Solutions for Hipersonic Sphere-Cones, AIAA Journal Vol. 16, n. 1, pp. 137–144, 1978.

    Google Scholar 

  3. Srivastava B.N., Werle M.J., Davis R.T.,A Finite Difference Technique Involving Discontinuous Derivatives, Computers and Fluid Vol. 7, pp. 69–74, 1979.

    Google Scholar 

  4. Napolitano M., Werle M.J., Davis R.T.,A Numerical Technique for the Triple Deck Problem, AIAA J. Vol. 17, n. 7, pp. 699–705, 1979.

    Google Scholar 

  5. Napolitano M.,A Numerical Study for Strong Slot Injection into a Supersonic Laminar Boundary Layer, AIAA J. Vol. 18, n. 8, pp. 72–77, 1980.

    Google Scholar 

  6. Rubin S.G., Khosla P.K.,Polynomial interpolation methods for viscous flow calculations, J. Comp. Phys., Vol. 24, pp. 217–244, 1977.

    Google Scholar 

  7. Isacson E., Keller H.B.,Analysis of Numerical Methods, Wiley, New York, 1966 pp. 58–61.

    Google Scholar 

  8. Napolitano M., Vacca G.,A spline tecnique for boundary value problems with discontinuous derivatives, Atti dell'Istituto di Macchine - Bari, Maggio 1979.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Istituto di macchine, Università di Bari, Italy

    Michele Napolitano & Gaetano Vacca

Authors
  1. Michele Napolitano
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gaetano Vacca
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

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

Rights and permissions

Reprints and permissions

About this article

Cite this article

Napolitano, M., Vacca, G. A spline technique for boundary value problems with discontinuous derivatives. Meccanica 16, 27–29 (1981). https://doi.org/10.1007/BF02128305

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02128305

Keywords

Search

Navigation