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A Fourth Order Spline Method for Singular Two-Point Boundary Value Problems

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Numerical Mathematics Singapore 1988

Abstract

This paper describes a new fourth order “spline” approximation method for the class of singular two-point boundary value problems:

$$ y'' + \frac{\alpha }{x}y' + f(x,y) = 0,0 < x < 1,y'(0) = 0,y(1) = A,for\;all\;\alpha \geqslant 1 $$

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Author information

Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi, 110016, India

    M. M. Chawla & R. Subramanian

Authors
  1. M. M. Chawla
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  2. R. Subramanian
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Editor information

Editors and Affiliations

  1. Department of Mathematics, National University of Singapore, Lower Kent Ridge Road, 0511, Singapore, Republic of Singapore

    Ravi P. Agarwal

  2. National University of Singapore, Republic of Singapore

    Y. M. Chow  & S. J. Wilson  & 

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© 1988 Springer Basel AG

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Chawla, M.M., Subramanian, R. (1988). A Fourth Order Spline Method for Singular Two-Point Boundary Value Problems. In: Agarwal, R.P., Chow, Y.M., Wilson, S.J. (eds) Numerical Mathematics Singapore 1988. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 86. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6303-2_7

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  • DOI: https://doi.org/10.1007/978-3-0348-6303-2_7

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-2255-7

  • Online ISBN: 978-3-0348-6303-2

  • eBook Packages: Springer Book Archive

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