Numerical study for a class of singular two-point boundary value problems using Green's functions

  title={Numerical study for a class of singular two-point boundary value problems using Green's functions},
  author={Zhongdi Cen},
  journal={Applied Mathematics and Computation},
In this paper,we present a numerical method based on a non-uniform mesh for a class of singular two-point boundary value problems. Green’s function of the singular boundary value problem is used to derive an equivalent integral equation which is then solved by interpolation with quadratic polynomials. It is shown to be third-order convergent. Numerical results are presented which are in agreement with the theoretical error bound. 2006 Elsevier Inc. All rights reserved. 

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Referenced Papers

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Showing 1-8 of 8 references

Numerical Methods for Two Point Boundary Value Problem

  • H. B. Keller
  • Blaisdell Pub. Co., Waltham, MA
  • 1968
Highly Influential
4 Excerpts

Numerical Solution of Boundary Value Problems for Ordinary Differential Equations

  • U. Ascher, R.M.M. Mattheij, R. D. Russell
  • Prentice-Hall, Englewood Cliffs, NJ
  • 1988
1 Excerpt

Collocation for singular boundary value problems of second order

  • E. Weinmüller
  • SIAM J. Anal. 23
  • 1986
2 Excerpts

A collocation code for boundary value problems in ordinary differential equations , Numer

  • G. Kneisl W. Auzinger, O. Koch, E. Weinmüller
  • SIAM J . Numer . Anal .
  • 1978
1 Excerpt

A note on the numerical solution of some singular second-order differential equations

  • A. M. Cohen, D. E. Jones
  • J. Inst. Maths. Appl. 13
  • 1974
2 Excerpts

On the convergence of finite difference approximations to one-dimensional singular boundary value problems

  • P. Jamet
  • Numer. Math. 14
  • 1970
1 Excerpt

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