Numerische Mathematik

, Volume 50, Issue 3, pp 363–376

Spline finite difference methods for singular two point boundary value problems

  • S. R. K. Iyengar
  • Pragya Jain

DOI: 10.1007/BF01390712

Cite this article as:
Iyengar, S.R.K. & Jain, P. Numer. Math. (1986) 50: 363. doi:10.1007/BF01390712


In this paper we discuss the construction of a spline function for a class of singular two-point boundary value problemx−α(xαu′)=f (x, u),u(0)=A,u(1)=B, 0<α<1 or α=1,2. The boundary conditions may also be of the formu′(0)=0,u(1)=B. Three point finite difference methods, using the above splines, are obtained for the solution of the boundary value problem. These methods are of second order and are illustrated by four numerical examples.

Subject Classifications

AMS(MOS): 65L 10CR: Gl.7

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • S. R. K. Iyengar
    • 1
  • Pragya Jain
    • 1
  1. 1.Department of MathematicsIndian Institute of TechnologyNew DelhiIndia