Variational iteration method for solving singularly perturbed two-point boundary value problems

Doǧan N., Al-Quran M., Ertürk V. S., Momani S.

International Journal of Pure and Applied Mathematics, vol.58, no.1, pp.11-19, 2010 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 58 Issue: 1
  • Publication Date: 2010
  • Journal Name: International Journal of Pure and Applied Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.11-19
  • Keywords: Approximate solution, Singularly perturbed two-point boundary value problems, Variational iteration method
  • Ondokuz Mayıs University Affiliated: No

Abstract

In this work, He's variational iteration method is used for the solution of singularly perturbed two-point boundary value problems. Some problems are solved to demonstrate the applicability of the method. It is observed that a good choice of the freely selected initial approximation in the VIM leads to exact solutions for some examples or gives a very well approximate solutions by using only one iteration. VIM has been applied to the initial value problems until now. In this work, VIM is used for the solution of singularly perturbed two-point boundary value problems. © 2010 Academic Publications.