FUW TRENDS IN SCIENCE & TECHNOLOGY JOURNAL
(A Peer Review Journal)
e–ISSN: 2408–5162; p–ISSN: 2048–5170
keywords: Collocation, continuous scheme, interpolation, Laguerre polynomial
In this paper, self-starting hybrid block method is proposed for the solution of general second order initial value problem of the form Y1 = f(x,y,y1) directly without reducing it to first order of ODEs. The method was developed using Laguerre polynomial as basis function and the method was augmented by the introduction of off-step points in order to bring zero stability and upgrade the order of consistency of the method. An advantage of the derived continuous scheme is that it can produce several outputs of solution at the off-grid points without requiring additional interpolation. The schemes compare favourable with existing method
Awoyemi DO 1999. A class of continuous methods for general second order initial value problems in ordinary differential equations. Int. J. Computational Maths., 72: 29-37. Badmus AM 2006. A reformulation of P-stable Schemes in continuous form for second order initial value problems in ordinary differential equations. M.Sc Thesis Abubakar Tafawa Balewa University Bauchi, Nigeria
