One Leg hybrid P-stable substitution LMM for oscilatory IVPs in ODEs.

Abstract

This presents P-stable successive substitution one-leg hybrid LMM for the numerical solution of oscillatory second order IVPs in ODEs without explicitly defined first order derivative. These problems occurs amongst others, in orbital mechanics where the methods to be presented finds ready applications and need not any a priori knowledge of the period of the solution of the defining ODE.

Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 345-354