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.

引用

页码：435 / 442

页数：8

共 11 条

[1] 2-STEP 4TH-ORDER P-STABLE METHODS WITH PHASE-LAG OF ORDER 6 FOR Y''=F(T,Y) [J].