Hybrid multistep method for solving second order initial value problems

Hybrid multistep method for solving second order initial value problems

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...

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Veröffentlicht in:Journal of the Egyptian Mathematical Society 2017-07, Vol.25 (3), p.355-362
1. Verfasser: Ibrahim, Iman H.
Format: Artikel
Sprache:eng
Schlagworte:
Hybrid methods
Interval of periodicity
P-stability
Phase-lag
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Zusammenfassung: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.
ISSN:1110-256X
2090-9128
DOI:10.1016/j.joems.2017.03.008