Optimization as a function of the phase-lag order of nonlinear explicit two-step P-stable method for linear periodic IVPs

被引：151
作者：
Stavroyiannis, S. [1 ]
Simos, T. E. [2 ]
机构：
[1] Technol Educ Inst Kalamata, Sch Management & Econ, Dept Finance & Auditing, Antikalamos 24100, Greece
[2] Univ Peloponnese, Fac Sci & Technol, Dept Comp Sci & Technol, Tripoli 22100, Libya
来源：
APPLIED NUMERICAL MATHEMATICS | 2009年 / 59卷 / 10期
关键词：
Second-order linear initial value problem; P-stability; Phase-lag order; Vector product and quotient; INITIAL-VALUE-PROBLEMS; ONE-STEP METHOD; DIFFERENTIAL-EQUATIONS; NUMERICAL-INTEGRATION; Y''=F(T; Y); SYSTEMS;
D O I：
10.1016/j.apnum.2009.05.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We elaborate on a nonlinear explicit two-step P-stable method of fourth algebraic order and varying phase-lag order for solving one-dimensional second-order linear periodic initial value problems (IVPs) of ordinary differential equations. Using special vector arithmetic with respect to an analytic function, the method can be extended to be vector applicable for multidimensional problems. Numerical results to illustrate the efficiency of the method are presented. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：2467 / 2474
页数：8
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