A new higher order effective P–C methods for stiff systems

Gamal A.F. Ismail and Iman H. Ibrahim

Mathematics and Computers in Simulation (MATCOM), 1998, vol. 47, issue 6, 541-552

Abstract: In this paper a special class of k-step methods of order k+1 with two free parameters up to order 9 are established. The stability analysis of the P–C scheme is investigated. The coefficients of our class and the values of the parameters for getting A0-stable schemes are tabulated. The relation between the parameters for obtaining L(α)-stable formula is determined. A comparison between the stability region and the error estimation for the fourth-order of our scheme and Cash's scheme is carried on.

Keywords: Stiff systems; P–C scheme; A0-stable; L(α)-stable; A(α)-stable; Hurwirtz polynomial (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:47:y:1998:i:6:p:541-552

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