Auxiliary linear multistep methods: explicit

Abstract

A class of high order explicit 2-step methods for the integration of ordinary differential equations have been developed. The methods use the slopes at several auxiliary points within a step. The efficiency of the methods has been established by comparing numerical results with those of Adams-Bashforth-Moulton predictorcorrector method and Runge-Kutta fourth order method.KEY WORDS: Ordinary differential equations, initial value problems, multistep methods, hybrid methods, numerical algorithms, zero-stability, order and accuracy, numerical experiments. C. R. CATEGORY: G 1.0, G 1.7.