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 predictor-corrector method and Runge-Kutta fourth order method.

Keywords:

• Ordinary differential equations
• initial value problems
• multistep methods
• hybrid methods
• numerical algorithms
• zero-stability
• order and accuracy
• numerical experiments

C.R. Categories:

• G.1.0
• G.1.7