Hybrid multistep method for solving second order initial value problems

Abstract

This paper develops a new parametric hybrid linear multistep method which has off-step points that allow it to be P-stable with high order. The stability analysis of the method is discussed and the stability regions are plotted. The stability regions are extended and the intervals of periodicity are increased with good choices of the parameters. Finally, some numerical tests are solved.

Keywords

• Hybrid methods
• Interval of periodicity
• P-stability
• Phase-lag