A two-step explicit P-stable method for solving second order initial value problems

被引：13
|
作者：
Li, QH
Wu, XY [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[2] Chuzhou Normal Inst, Dept Math, Chuzhou 239012, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 138卷 / 2-3期
关键词：
initial value problem; P-stable; characteristic equation; vector product and quotient;
D O I：
10.1016/S0096-3003(02)00154-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The conceptions of periodicity interval and P-stability were introduced by Lambert and Watson [J. Inst. Math. Appl. 18 (1976) 189] in connection with multistep methods for second order initial value problems. This paper presents a new two-step explicit P-stable method of order two for solving initial value problems of second order ordinary differential equations. Based on a special vector, operation, the,method can be, extended to be vector applicable. (C) 2002 Elsevier Science Inc. All rights reserved.
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页码：435 / 442
页数：8
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