A Note on Singularly Perturbed System

Main Authors: Hengki Tasman; Department of Mathematics, FMIPA - ITB, Theo Tuwankotta; Department of Mathematics, FMIPA ITB, Wono Setya Budhi; Department of Mathematics, FMIPA ITB
Format: Article application/pdf eJournal
Bahasa: eng
Terbitan: Institut Teknologi Bandung , 2009
Subjects:
Online Access: http://journal.fmipa.itb.ac.id/jms/article/view/28
Daftar Isi:
  • In this paper the solution of a singularly perturbed nonlinear ordinary differential equation which is obtained by using the asymptotic expansion method and a numerical method is analyzed in various values of the parameter of the equation. The numerical method which we use is Runge-Kutta-Feldbergh method of order 45, combined with the shooting method. Both solutions are verified using the first integral of the equation.