The iterated defect correction methods for singular two-point boundary value problems

Ertem S., Somali S.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol.69, pp.331-349, 1998 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 69
  • Publication Date: 1998
  • Doi Number: 10.1080/00207169808804727
  • Journal Name: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.331-349
  • Keywords: iterated defect correction methods, singular two-point boundary value problems, FINITE-DIFFERENCE METHODS, CONVERGENCE, EQUATIONS
  • Dokuz Eylül University Affiliated: No

Abstract

In this paper, the iterated defect correction (IDeC) techniques based on the centered Euler method for the equivalent first order system of the singular two-point boundary value problem in linear case (x(alpha)y'(x))' = f(x), y(0) = a,y(1) = b, where 0 < alpha < 1 are considered. By using the asymptotic expansion of the global error, it is analyzed that the IDeC methods improved the approximate results by means of IDeC steps and the degree of the interpolating polynomials used. Some numerical examples from the literature are given in illustration of this theory. C. R. Category: G.1.7.