A NEW HIGHER-ORDER EFFECTIVE P-C METHODS FOR STIFF SYSTEMS

Authors
ISMAIL GAF IBRAHIM IH
Citation
Gaf. Ismail et Ih. Ibrahim, A NEW HIGHER-ORDER EFFECTIVE P-C METHODS FOR STIFF SYSTEMS, Mathematics and computers in simulation, 47(6), 1998, pp. 541-552
Citations number
6
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming",Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
Journal title
Mathematics and computers in simulation → ACNP
ISSN journal
03784754
Volume
47
Issue
6
Year of publication
1998
Pages
541 - 552
Database
ISI
SICI code
0378-4754(1998)47:6<541:ANHEPM>2.0.ZU;2-O
Abstract
In this paper a special class of k-step methods of order k + 1 with tw o free parameters up to order 9 are established. The stability analysi s of the P-C scheme is investigated. The coefficients of our class and the values of the parameters for getting A(0)-stable schemes are tabu lated. The relation between the parameters for obtaining L(alpha)-stab le formula is determined. A comparison between the stability region an d the error estimation for the fourth-order of our scheme and Cash's s cheme is carried on. (C) 1998 IMACS/Elsevier Science B.V.