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

被引：4
|
作者：
Ismail, GAF [1 ]
Ibrahim, IH [1 ]
机构：
[1] Ain Shams Univ, Univ Coll Women, Cairo, Egypt
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 1998年 / 47卷 / 06期
关键词：
stiff systems; P-C scheme; A(0)-stable; L(alpha)-stable; A(alpha)-stable; Hurwirtz polynomial;
D O I：
10.1016/S0378-4754(98)00136-0
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
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 A(0)-stable schemes are tabulated. The relation between the parameters for obtaining L(alpha)-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. (C) 1998 IMACS/Elsevier Science B.V.
引用
收藏
页码：541 / 552
页数：12
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