Four-step, two-stage, sixth-order, P-stable methods

Authors:
M. Lambiris;Ch. Tsitouras;K. Evmorfopoulos
Affiliations:
Dept. of Applied Sciences, TEI of Chalkis, GR34400 Psahna, Greece;Dept. of Applied Sciences, TEI of Chalkis, GR34400 Psahna, Greece;Dept. of Applied Sciences, TEI of Chalkis, GR34400 Psahna, Greece
Venue:
ICCMSE '03 Proceedings of the international conference on Computational methods in sciences and engineering
Year:
2003

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Abstract

An implicit four-step, sixth-order, P-stable method for initial value problem of the form y'' = f (x, y) is suggested. It is recommended for systems with stiff oscillatory solutions. Only two stages required per step, instead of three stage methods found until now in the literature.