IJPAM: Volume 58, No. 1 (2010)
SINGULARLY PERTURBED TWO-POINT
BOUNDARY VALUE PROBLEMS





Faculty of Technical Education
Gazi University
Teknikokullar, Ankara, 06500, TURKEY
e-mail: ndogan@ymail.com

P.O. Box 3030, Irbid, 22110, JORDAN
e-mail: marwan04@just.edu.jo

Faculty of Arts and Sciences
Ondokuz Mayis University
Samsun, TURKEY
e-mail: vserturk@yahoo.com

Faculty of Science
University of Jordan
Amman, 11942, JORDAN
e-mail: shahermm@yahoo.com
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.
Received: November 11, 2009
AMS Subject Classification: 35A15, 34B10
Key Words and Phrases: variational iteration method, singularly perturbed two-point boundary value problems, approximate solution
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 58
Issue: 1