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A fourth order method for a singular two-point boundary value problem

  • Part II Numerical Mathematics
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Abstract

Recently, Chawla et al. described a second order finite difference method for the class of singular two-point boundary value problems:

$$y'' + (\alpha /x)y' + f(x,y) = 0, 0< x< 1, y'(0) = 0, y(1) = A, \alpha \geqslant 1.$$

No higher order finite difference method has been given so far. In the present paper we give a fourth order finite difference method for all α ≥ 1.

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Authors and Affiliations

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

    M. M. Chawla & R. Subramanian

  2. Department of Computer Science Technology, University of Southern Colorado, 81001, Pueblo, CO, U.S.A.

    H. L. Sathi

Authors
  1. M. M. Chawla
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  2. R. Subramanian
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  3. H. L. Sathi
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Chawla, M.M., Subramanian, R. & Sathi, H.L. A fourth order method for a singular two-point boundary value problem. BIT 28, 88–97 (1988). https://doi.org/10.1007/BF01934697

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  • DOI: https://doi.org/10.1007/BF01934697

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