On the convergence of finite difference methods for weakly regular singular boundary value problems

  • Authors:
  • R. K. Pandey;Arvind K. Singh

  • Affiliations:
  • Department of Mathematics, IIT, Kharagpur 721 302, India;Department of Mathematics, IIT, Kharagpur 721 302, India

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2007

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Abstract

The second order finite difference methods M"1 based on a non-uniform mesh and M"2 based on an uniform mesh developed by Chawla and Katti [Finite difference methods and their convergence for a class of singular two point boundary value problems, Numer. Math. 39 (1982) 341-350] for weakly regular singular boundary value problems (p(x)y^')^'=f(x,y), 0