Year: 1995
Journal of Computational Mathematics, Vol. 13 (1995), Iss. 3 : pp. 232–242
Abstract
In this paper, we develop a one-parameter family of P-stable sixth-order and eighth-order two-step methods with minimal phase-lag errors for numerical integration of second order periodic initial value problems: $$ y''=f(t,y), \quad y(t_0)=y_0, \quad y'(t_0)=y'_0. $$ We determine the parameters so that the phase-lag (frequency distortion) of these methods are minimal. The resulting methods are P-stable methods with minimal phase-lag errors. The superiority of our present P-stable methods over the P-stable methods in [1-4] is given by comparative studying of the phase-lag errors and illustrated with numerical examples.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1995-JCM-9265
Journal of Computational Mathematics, Vol. 13 (1995), Iss. 3 : pp. 232–242
Published online: 1995-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11