New, fast numerical method for solving two-point boundary-value problems

被引：22
|
作者：
Holsapple, R [1 ]
Venkataraman, R
Doman, D
机构：
[1] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA
[2] USAF, Res Lab, Wright Patterson AFB, OH 45433 USA
来源：
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS | 2004年 / 27卷 / 02期
关键词：
D O I：
10.2514/1.1329
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
A numerical method, modified simple-shooting method (MSSM), to solve two-point boundary-value problem (TPBVP) was presented. The method include favourable aspects of the short-shooting method (SSM) and multiple-shooting method (MSM). A comparison of computation time of MSSM, MSM, collocation methods (CM), and finite difference methods (FDM) was illustrated. It was observed that the convergence of the MSSM was proved under mild conditions on the TPBVP. The solutions of MSSM were resulted in a trajectory which satisfied the system differential equations.
引用
收藏
页码：301 / 304
页数：4
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