Year: 2002
Author: Kai-Li Xiang, R. M. Thomas
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 2 : pp. 175–184
Abstract
A family of symmetric (hybrid) two step sixth P-stable methods for the accurate numerical integration of second order periodic initial value problems have been considered in this paper. These methods, which require only three (new) function evaluation per iteration and per step integration. These methods have minimal local truncation error (LTE) and smaller phase-lag of sixth order than some sixth orders P-stable methods in [1-3,10-11]. The theoretical and numerical results show that these methods in this paper are more accurate and efficient than some methods proposed in [1-3,10].
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JCM-8908
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 2 : pp. 175–184
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Second order periodic initial value problems P-stable Phase-lag Local truncation error.