A Moderate Order Numerical Integrator for Stiff Differential Systems

Abstract

In this paper we derived a new moderate order numerical integrator for the solution of initial value problems in ordinary differential systems that are stiff, singular or oscillatory. We compared our integrator with certain Maximum order second derivative hybrid multi – step methods. Our results show good improvement over the Maximum order second derivative hybrid multi – step methods.

Keywords: Rational Integrator, Initial Value Problems, Convergence, Consistency, Stability