One-Step Rational Integrators Method for Solving Initial Value Problems (IVPs) in Ordinary Differential Equations

Abstract

In this paper work we designed one – Step Rational Integrators (OSRIs) of order 2k – 1 method for solving initial value problems (IVPs) in Ordinary Differential Equations (ODEs). The method was implemented and compared with other existing methods to ascertain the level of performance, in terms of results produced from solving some initial value problems. Problems involving modeling of real-life situation in an ordinary differential equation were handled by our method.