EXPLICIT HIGH-ORDER METHODS FOR THE NUMERICAL-INTEGRATION OF PERIODICINITIAL-VALUE PROBLEMS

Authors
TSITOURAS C SIMOS TE
Citation
C. Tsitouras et Te. Simos, EXPLICIT HIGH-ORDER METHODS FOR THE NUMERICAL-INTEGRATION OF PERIODICINITIAL-VALUE PROBLEMS, Applied mathematics and computation, 95(1), 1998, pp. 15-26
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
95
Issue
1
Year of publication
1998
Pages
15 - 26
Database
ISI
SICI code
0096-3003(1998)95:1<15:EHMFTN>2.0.ZU;2-2
Abstract
Two explicit two-step hybrid methods of order 7 and 8 for the numerica l integration of second order periodic initial-value problems are deve loped in this paper. The first of them has a large interval of periodi city and the other a minimal phase-lag. Each of them has seven stages per iteration. Numerical and theoretical results obtained for several well-known problems show the efficiency of the new methods. (C) 1998 E lsevier Science Inc. All rights reserved.