A Note on Singularly Perturbed System

Hengki Tasman ( Department of Mathematics, FMIPA - ITB)
Theo Tuwankotta ( Department of Mathematics, FMIPA ITB)
Wono Setya Budhi ( Department of Mathematics, FMIPA ITB)

Jurnal Matematika & Sains
Vol 7, No 1 (2002)

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.