Successive substitution one-leg hybrid P-stable LMM for initial value problems in Second Order Ordinary Differential Equations.

Abstract

This paper derives P-stable successive substitution one-leg hybrid linear multistep methods for the numerical solution of second order initial value problems in ordinary differential equations without explicit first order derivative. The methods are demonstrated by a numerical example also considered by Fatunla, et al (1997) [8], Fatunla (1985) [7], Cash (1981) [4] and Lambert and Watson (1976) [17]. Journal of the Nigerian Association of Mathematical Physics Vol. 9 2005: pp. 269-278